Time to open a bank account in Canada

Help, I can’t tell the difference between the different varieties. Between the “Ultimate 2 Bluetooth Controller” and the “Ultimate 2 Wireless Controller,” which one do I want for gaming on Linux (both Steam on my desktop and RetroPie on my Raspberry Pi)? Or which do I want between the “2C Bluetooth” and “2C Wireless,” for that matter?

(Damn it, 8bitdo, would it kill you to put a fucking comparison matrix on your website‽)