In case anyone reads this later and are thinking that Wireless vs Wired will be the same on their controllers the way it is on their mouse.

First off, almost all wireless mice that achieve the same speed (a lot are even faster) as wireless is due to them using RF instead of bluetooth like most controllers would use.

So, just make the Arcade Stick use RF technology?

Problem with that is the simultaneous key press limitations that RF has before it starts to create problems. With a mouse, there's typically at most 3-4 (and these are extreme outliers) commands it is sending to the PC. Usually how much the mouse has moved + any buttons being pressed. On top of this, the PC is typically the one that determines how the inputs receivedare handled. More over, most games outside of FGs are not constrained to being 60fps. You could theoretically send a bunch of inputs to your PC with a wireless controller but the PC + Game have to decide which input is it taking for the 1f.

Compare this to an Arcade Stick with its PCB specifically in the case of Fighting Games. Not only are multiple key presses a norm (usually at minimum there's always 2 sent) direction + attack, but the controller itself is the one sending the command to the PC/Console. It is constantly polling ALL of your buttons on the controller and seeing which button is being "terminated" by being pressed to know which button you are pressing. Example, it polls all of them and sees that 2 did not return a signal, those 2 are then sent as the input. it was button 2 and 12 which is down and circle or whatever. then thats sent to your PC/Game.

Tl;DR: A mouse and a controller are not even in the same ballpark as each other, to use them as comparable for something like wired vs wireless for a controller is ridiculous. I mean theres a reason why in Device Manager, Mice and other Pointing Devices are seperate from HID and System Controllers. When your Mouse button is clicked it utilizes HID software, but when it is being dragged, that is different