That sounds likely to produce more effective argumentation rather than more effective reasoning.
If you expose populations of gazelles to populations of cheetahs, you will get gazelles who are more effective cheetah-avoiders.
They will also be faster. Actually, really, objectively faster, as measured by someone who has a clock rather than a cheetah's appetite as their metric.
The strongest techniques of argumentation — the ones that work against people who are also strong arguers — happen to be those that are in conformance with the mathematical rules of logic and evidence. That is why the ancients figured out syllogisms, and the less-ancients figured out probability, rules of evidence, symbolic logic, significance tests, the rule against hearsay, and so on.
(Evidence is not just "what seems convincing", either. In a world where other people are trying to convince you of false things in order to take advantage of you, it is to your advantage to only be convinced by that which is actually true.)
This should not be surprising. If you want to beat others on a given field, you have to take advantage of the properties of that field — not just take advantage of naïve opponents. You do not become a chess master by studying the psychology of chess players; you study chess.
Spending a lot of time arguing is very different from optimizing for being persuasive, or for only being persuaded by true arguments. Curi evidently spends a lot more time in argument than most members of this board, but I certainly wouldn't say that it's been helpful for him.
A gazelle that gets caught by a cheetah will die. A person who makes less sound points in a debate and refuses to change their mind can not only insist that they won the argument, they may even preserve more social status by doing so than acknowledging that they were wrong.
I saw this in the Facebook "what's popular" box, so it's apparently being heavily read and forwarded. There's nothing earthshattering for long-time LessWrong readers, but it's a bit interesting and not too bad a condensation of the topic:
A glance at the comments [at the Times], however, seems to indicate that most people are misinterpreting this, and at least one person has said flatly that it's the reason his political opponents don't agree with him.
ETA: Oops, I forgot the most import thing. The article is at http://www.nytimes.com/2011/06/15/arts/people-argue-just-to-win-scholars-assert.html