You clearly weren't saying they all are, but what I'm saying is that my impression is that the bar for weirdness isn't higher at all. There will always be examples of mathematicians behaving weirdly, because there will always be examples of people behaving weirdly. Spending a lot of time thinking about abstract nonsense definitely improves your proficiency at thinking about abstract nonsense, but I can't see how it could affect the way you process other things any more than frequent practice with sudoku or chess would.

The mental process in math is no more special than any other intellectual hobby. If you invest decades into chess I'm sure you'll think about chess in a very different way than a beginner, but in my opinion seeing chess differently should have minimal impact on how someone thinks about things unrelated to chess.