Nope! Both the Xbox Elite and Dualsense Edge controllers don’t add new buttons, they just add buttons that can only be copies of the regular Xbox/Playstation buttons.

Steam Deck does it better since the four back buttons can be used as completely independent buttons.

I’ve heard that the 8BitDo Ultimate 2 controller also can use its extra buttons as net new buttons, and I’ve been tempted to get one for that reason (and because I really liked the Ultimate “1” I had before my dog chewed it up!)