I have 4 things / sources connected to my matrix - Sky Q / Blu Ray Player / Apple TV / PS5.
The matrix and all the sources live in my home office - nothing is in my lounge or living room, bar the 2 TVs.
The PS5 controllers, being bluetooth and pretty strong from what I see, work wirelessly whether I take one into the bedroom or lounge.
So I can play PS5 in either room, while the PS5 lives in the home office.
My home office room housing the PS5 is about 8-10 meters away from both my lounge and bedroom - both are on one side of the corridor, the home office on the other side. It works absolutely fine - but for much larger distances / separations, that might be more of a challenge.
All sources plunge into the matrix serve their video / audio to the bedroom / lounge over cat6, with a cat6 to HDMI converter (small) box at the TV end - thats part of the standard HDMI matrix setup. Atlona now do a (second) different matrix architecture, Omnistream - seems very clever, but pricey.
Not sure if any of that helps!