>>you mess up the team chemistry.
True, only if you have a great team already and you don't desire messing it up. If that is the case, you wouldn't need that method at the first place.
On the other hand, teams are pretty dynamic these days given the interfaces and responsibilities are well defined. Or at least are largely defined well. So replacing team members is never really a problem.
Billy Beane is constantly attacked for destroying the looker room chemistry in the local press.