I probably should’ve upgraded X-Box 360 controller driver, since checking GitHub releases page for that driver revealed newer versions being available – it just so happened that I already had 0.14 installed and it worked, so I didn’t bother changing anything. I’ve tested this setup with TattieBogle driver version 0.14 and Fuse emulator port for mac version 1.5.6. A macOS driver is also needed for X-Box controller to work with Mac, but such a thing is available too (also there is an older one from TattieBogle).
In any of those cases X-Box 360 controller can be used on macOS – by using macOS port of Fuse ZX Spectrum emulator, that supports it out of the box.
Others support standard key mappings like QAOP+Space or QAOP+M, and some also support standard joystick configurations like Kempston joystick, which essentially uses number keys 1230 for left/right/up/down/fire on 2 joysticks – very simple and effective scheme, that also seamlessly works with games that allow redefining keys but don’t have special joystick support. Some ZX Spectrum games allow one do redefine keys in order to play them. For those who remember and love the good old ZX Spectrum – here’s a retro-gaming lifehack to have some fun experience playing ZX Spectrum games using X-Box controller on a Mac.