Just throwing in my two cents. I play the PS5 version of the game and while I haven't noticed any general advantage or disadvantage playing against teams on either console, there are definitely games where I see things similar to what other posters in this thread have mentioned. Opponents way faster in striaght-line footraces than they should be based on their attributes, battles for loose pucks always going the other way, etc
My suspicion is it's connection based. The handful of times I've reached out to opponents after games like this I've found they're all running with sub-10 ms pings while my teammates and myself have 20-25 ms ping. I would hope the game wouldn't so sensitive to response times that such a small difference would give such a large advantage, but it kind of seems that way. Of course this could all be confirmation bias on my part and there's nothing to it.