Yes, this is an important aspect.
I think what people usually keep in mind are not the specific mistakes, but status and alliances. In the "nerd culture", the individual mistakes are quickly forgotten... however, if someone makes mistakes exceptionally often, or makes a really idiotic mistake and then insists on it, they may gain a long-term reputation of an idiot (which means low status). But even then, if a well-known idiot makes a correct statement, people are likely to accept this specific statement as correct.
In the "social culture", it's all about alliances and power. Those change slowly, therefore the reactions to your statements change slowly, regardless of the statements. If you make a mistake and people laugh at you because you are low-status and it is safe to kick you, next time if you make a correct statement, someone may still make fun of you. (But when a high-status person later makes essentially the same statement, people will accept it as a deep wisdom. And they will insist that it is totally not the same thing that you said.) It's not important what was said, but who said it. Quick changes only come when people change alliances, or suddenly gain or lose power; but that happens rarely.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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