Perhaps you and your opponent were simply optimizing for different goals ? For example, it's possible that your goal was "defeat the opponent as quickly as possible", whereas his was "defeat the opponent while looking as good as possible (in order to derive maximum enjoyment from the task)" or "defeat the opponent whose challenge level falls within some optimal range, handicapping self if needed (in order to derive maximum enjoyment from the task)" . Your opponent may or may not have been aware of his true goals at the time.
My point is, it's kind of tricky to declare an action "worse than worthless" without having very detailed information about all of the actors involved.
If I am about to go and fence a bout, the color of the shirt that I wear under my jacket is of no concern to me-- but if I had spent significant time before the bout debating over what shirt to wear instead of training, it would become a damaging detail rather than a meaningless one.
Unfortunately, worrying about whether you should worry is also harmful for the same reasons. Luckily, that question should resolve itself more quickly, so it should be a net benefit.
However, in more difficult cases, worrying about whether your should worry is harder to resol...
Despite being at +13, this post has been somewhat controversial, with a positive vote ratio of only 73%-- I'd be interested in hearing what caused some people to downvote it.
My current feeling is that this comment should have been part of the original post-- I thought it was implicit, but evidently this was not the case. Therefore, I'm especially interested in hearing comments from downvoters who downvoted the post for reasons other than the above.
I've had many just such experiences in various sorts of gaming (World of Warcraft, D&D), attempting to teach less-experienced players how to play effectively. (I can elaborate if anyone wants.) I can attest that there's definitely a common attitude of "well, at most this is doing no good, and it's how I like to play".
In fact, one particular aspect of this is that people seem to place value on personalization — doing things their way. The problem is, if there exists some optimally-effective way of doing things, then most deviations are likely to make performance worse (quite often because, as the OP says, the modified/added action consumes resources or otherwise has an opportunity cost).
Here's an example from World of Warcraft:
In group content in WoW (i.e. teaming up with other players to kill big monsters — the high-end, maximally challenging game content), one of the key roles is the damage-dealer, or "DPS" (damage per second). One of the DPS classes is the hunter, a ranged attacker. The hunter's job is to deal as much damage to the enemies as fast as possible.
Like all DPS classes, hunters have a wide variety of damage-dealing abilities, with names like Aimed Shot, Arcane Shot, Serpent Sting, etc. Traditionally, damage-dealing classes use their abilities in complex, shifting sequences, called a "rotation", to maximize DPS. (The reasons for this are beyond the scope of this discussion.)
At one point, I was playing a hunter in high-end raid encounters, and consistently performing very well (doing significantly more damage than anyone else). I would often group with other hunters, who were not performing nearly as well. I often had conversations that went like this:
Other hunter: Hey, how are you doing that much damage?
Me: Oh, I just use Steady Shot over and over. Nothing else.
OH: Haha (they think I am joking)
Me: No, seriously. Look at the damage ...
I wonder what is the equivalent of the Steady Shot in real life that I keep ignoring...
Perhaps "exercise, go out to meet new people, and keep smiling"?
Upon rereading your comment, I think I understand you here to be asking whether I think people should play suave diplomats with points in diplomatic-type stats but no competence in combat. Is that correct? ... ...but it's just that — an excuse; the tradeoff is not real.
I don't know which system specifically you are employing, but in most games, D&D included, there's indeed a tradeoff between diplomacy and combat (indeed, between most things). For example, if you want to kill the most things with a sword, then Str is your main stat, and Cha is your dump stat. If you choose to put points into Cha, you can still be effective in combat, but you will never be as effective as someone who put all his points into Str.
Even if you roll a Sorcerer or something, who is a Cha-based class, you still have a limited selection of Skills and Feats. Every point that you put into Diplomacy means one less point that you could've put into UMD, Spellcraft, or Knowledge: Arcana. And every point you put into Cha still means one less point toward Int or Wis, both of which are useful for a spy. Every time you memorize "Detect Thoughts", you are losing another spell slot that you could've used for "Summon Monster II".
If your gaming system allows you to be effective at everything at the same time, then I withdraw my objection, but IMO such a system removes too much challenge from the game, thus making it boring. Of course, that's just my opinion, it's not my place to tell you what to play or how to play it.
I don't know which system specifically you are employing
D&D. (3.5 for the games I usually run, Pathfinder as a secondary diversion, which I also refer to as "D&D"; it's close enough for the moniker to be accurate.)
[stuff about tradeoffs]
Sure, that's all true. What I meant was not that there are no tradeoffs to make if you want your character to be effective at both combat and things that aren't combat. Rather, as I said, there is no tradeoff, in the sense that you do not have make a single choice between being effective in combat ...
There are things that are worthless-- that provide no value. There are also things that are worse than worthless-- things that provide negative value. I have found that people sometimes confuse the latter for the former, which can carry potentially dire consequences.
One simple example of this is in fencing. I once fenced with an opponent who put a bit of an unnecessary twirl on his blade when recovering from each parry. After our bout, one of the spectators pointed out that there wasn't any point to the twirls and that my opponent would improve by simply not doing them anymore. My opponent claimed that, even if the twirls were unnecessary, at worst they were merely an aesthetic preference that was useless but not actually harmful.
However, the observer explained that any unnecessary movement is harmful in fencing, because it spends time and energy that could be put to better use-- even if that use is just recovering a split second faster! [1]
During our bout, I indeed scored at least one touch because my opponent's twirling recovery was slower than a less flashy standard movement. That touch could well be the difference between victory and defeat; in a real sword fight, it could be the difference between life and death.
This isn't, of course, to say that everything unnecessary is damaging. There are many things that we can simply be indifferent towards. If I am about to go and fence a bout, the color of the shirt that I wear under my jacket is of no concern to me-- but if I had spent significant time before the bout debating over what shirt to wear instead of training, it would become a damaging detail rather than a meaningless one.
In other words, the real damage is dealt when something is not only unnecessary, but consumes resources that could instead be used for productive tasks. We see this relatively easily when it comes to matters of money, but when it comes to wastes of time and effort, many fail to make the inductive leap.
[1] Miyamoto Musashi agrees: