Any thoughts on XSX vs PS5?

Totally by surprise, I've found myself in possession of both an XSX and PS5, and I'm so psyched for this game I'm ready to break my own rules and do a pre-order. Is there any reason anyone knows of to prefer one console over the other? I'm completely new to the PS world, so I'm wondering in particular if cross-platform games like this ever use any of its fancy controller features? Or should I expect the experience to be roughly the same?