...though, given the inconsistent naming of consistently laid-out buttons, I think anything that makes its way into Unicode should include something that follows the lead of what Batocera Linux does on their Wiki and with custom emojis in their Discord.

See https://wiki.batocera.org/configure_a_controller for an example of how they look inline but the gist is that it's an outline of the SNES-originated diamond of action buttons that pretty much everyone but Nintendo uses these days and which is embodied in XInput and the SDL Gamepad API, with one of the circles filled in to represent the button in question.