XBOX used to be the shooter console, but no longer.....Halo had a lot to do with that, but Halo has now fallen over a cliff....The best shooters are also on PS, like Titanfall 2. Destiny, all the Battle Royale shooters.....The XBOX controller did well to cement the XBOX's status as the FPS console with it's trigger buttons. Even then, PS's controller did have it's own strengths for shooters, looking at the best times posted in the first Modern Warfare, mostly was on PS3.....Then you can say that the best FPS games in the PS3/360 era were Killzone 2 and RFOM 3 hands down...
With DS4, PS took over everything and had the liveliest multiplayer. Destiny 1 sang on PS4 and the rest is history. Certainly we did not get many hallmark shooters like we did in the 360/PS3 era, but the third party shooters were all more populated and played better on PS4 with it's excellent controller.
Yet, even now, in this gen. XBOX cannot win in this shooter warfare....PS5's knack for 120fps dominance and with a controller that can't be beaten on features and immersion, there is no way XBOX can take that lead.....COD controls and feels better with the Dual Sense, so does Destiny and Rainbow Six.....You will see many other games will continue to stamp on that DualSense seal of approval throughout this gen....Like in Battlefield, but moreso, Sony is gearing up once again to put it's latent shooters back in rotation.....Expect a really innovative and well polished Killzone, Resistance and Socom/Mag for this generation......If they nail one of these out of the pack, farless two, it's a forgone conclusion......