I'm aware these aren't mutually exclusive. To me, the bigger benefit of not integrating them is that I can just rotate in freshly charged batteries anytime they die, and don't have to care about being within proximity of a charger.
(I also find this important for gamepads, to the extent that I don't just opt to play wired.)
I do wish more devices supported hot-swappable rechargeable battery packs. My headset does that.
But in the absence of that, I'll take USB-C and the ability to charge while actively using. I find that useful even for wireless gamepads, because then I can attach them to a generic charger on one side of the room, and not run a cable across the room to the console/TV area, because the communication is still wireless and only the power isn't.