I don't think so. Playstation is the defacto fighting game console. If you have a PS and an Xbox and interested in fighting games, chances are you're going with Playstation. There isn't a single fighting game that boasts crazy concurrent player counts after release window. So without Xbox/PS crossplay, it really does matter which console you choose. The available player pool for any given fighting game is already small, so going with Playstation is always a safer bet.
I think the d-pad is a secondary or even tertiary consideration for most that have access to both. I personally do not like either d-pad from Playstation or Xbox for fighting games, but I play stick or hitbox, so it doesn't matter to me.