My 5er came pre-wired for the Furrion as well. I bought it and use it. Works great. However that doesn't answer your question. On my unit the Furrion mounting bracket was installed at the factory and the wiring ran to the camper tail lights. As long as you have power, you can swap out the mounting base for whatever brand you choose. Two things to check. 1) Will the new mount cover the hole for wires in the camper? 2) make sure the tail light circuit has enough power to run your camera, 12v, X amps? If both of those match up, you will need a good sealant to keep water out and should be able to tie into the same wires. I must leave my running lights on for the camera to work. I turn on my headlights when hooked to the camper.
My camera is a wireless model, no hard wire from camera to cab of truck, so there is no wire run inside the camper to pin box. I suspect they are all wireless, but they may not be the case, verify.