I’d say that’s 100% dependent on the pitcher involved, and possibly on the catcher, too. If you have someone on the mound thinking “I’m just going to give the hitter my hardest slider and let the catcher worry about keeping it off thebackstop,” how critical is this relationship?
I’m not saying it doesn’t exist, but I do think you might be giving it more credit than need be. Multiple teams switch catcher every year. That doesn’t mean it’s a death nail for the pitching staff...