The issue is not hardware, the issue is button config.
Button config was written by someone who hasn't worked on the game in years, and it is a moderate-to-giant mess of code.
On PC, the button config is entirely different code, and it can accept "button #7" as whatever you want. Nothing knows what button is L3 or R3 or how many buttons exist on your input device.
On console, the button config automatically assigns Macro 1 and Macro 2 as whatever buttons are left over from the 8 possible choices, 4 face buttons + 4 shoulder buttons, because it can know exactly which buttons exist and all of them MUST be mapped at all times.
In order to add L3 and R3 as choices, the entire button config would have to be rewritten in code (and redesigned as a UI screen) in order to allow players to set macros by pressing unassigned buttons on the macro line.
Additionally, we don't have L3 and R3 in the font, which would mean redoing the font in a bunch of screens which is a giant PITA because Otter is a giant PITA.
We cannot bring the PC button config to console because the PC button config doesn't know anything about console buttons.
The amount of effort required to fix even just the console screen to add L3/R3 is larger than the effort required to add lobbies to a single console. It probably isn't happening, as a result.
tl;dr
No, because it's a prohibitive amount of work. Not for any technical reason, unfortunately.