It is not for a winch but a 12v air compressor.
so something like this?
Sorry, misread it, same wiring anyway just different load.
I think I know what you are doing and it won't work like that.
You need to connect the far left to negative, not via the compressor, that is not a negative, that is the switched supply out to the compressor if when you touch them together it runs.
Tread carefully here, I know what you need to do, but if your not certain what is what we could cause damage to the switch here.
Forget about everything else just now and think of it as a electronic device rather than a switch.
You need to give the device a supply, so far left goes to negative, so a good negative somewhere, or the chassis bodywork. The RHS needs a live supply, the compressor live should do as I suspect it will be upstream of any compressor electrics, then connect the black wire which goes back to the compressor to the middle terminal.
So basically, leave it sort of as it is, but take the black wire out the LHS terminal and replace it with a negative wire.
Then try the remote button, if it clicks, connect in the return wire to the compressor into the middle.
Can I ask, was that switch originally on the body of the compressor?