Your point seems to be roughly that "highly conjunctive arguments are disproportionately convincing". I hate to pick on what may just be a minor language issue, but I really grind to a halt trying to unify this with the phrase "convincing arguments aren't necessarily correct". I don't see much difference between it and "beliefs aren't necessarily correct". The latter is true, but I'm still going to act as if my beliefs are correct. The former is true, but I'm still going to be convinced by the arguments I find most convincing.

Using the word "convincing" as a 1-place predicate distracts from the actual problem, which is simply that you found a weak argument convincing.