Many pitchers will go to their grave thinking their battery mate matters. Some, it doesn't seem to matter much.
It takes time for relationships to grow closer or farther apart. With so many new pitchers, including some that were injured, last year or while McQuire or Wong were on the big club, I think time will shake things out.
I do think the catcher matters on many teams. There must be times and places where both catchers are pretty close to the same, and maybe it's just some intangible confort level thing with some pitchers.
It's way too early to know anything about who might or might not be better placed with each pitcher, and maybe in this case, it doesn't or won't matter, at least for 2023.
Many managers choose to match up certain catchers with certain pitchers and shy away from any sort of choice based on which catcher hits the pitcher they face that night better. That makes me think, managers think it matters.