TIL embraces Takahashi psychology; BE rejects it (for Akane).  Using 

Takahashi
psychology, Akane's actions can be explained as immaturity and not mental
illness; using realistic psychology, they can't.  That's why the two 
stories
don't fit together.<<

You forget. This is a crossover between two alternate realities. In such 
cases all bets are off. There are no rules about how similar the two 
realities have to be.