Mostly the difference is how locked down the printers are. For example I really don’t like Elegoo’s proprietary slicer format as it requires me to use their shitty closed source slicer. Second is the availability and pricing of spare parts.
Washing and curing stations are quite simple and as far as I know there’s no big differences.
Check your local maker space / hacklab first to get started. SLA printing isn’t for everyone and cheaper gear isn’t so nice to operate. You should also consider washing & curing station since it’s really a must if you want to print at least somewhat comfortably.
Does the controller battery have enough charge?
I’m doubtful that it’s the same issue with the firmware as it doesn’t show up as a usb-device when connected via cable. I don’t think you can update the firmware without usb-connection.
Have you tried another usb-cable? What make and model is your bluetooth adapter? Clone adapters have huge amount of problems and USB-cables can break or be only for charging having no leads for data.
Is the controller original or 3rd party / clone?
Edit: I managed to just now notice that you actually wrote that the Bluetooth somewhat works.
Does the controller work at all? Have you checked it using Xbox or another computer? Does the USB-port work?
Used to have one. It was constantly clogged and causing trouble.