Retrofit a wireless remote control to a device?

Anyone know of an affordable programmable receiver and sender or relay?
This $457.30 programmable receiver and $141.63 transmitter is too much.

A Gorilla LG-EH-0100 hoist 240V doesn’t have remote control, but simple wired control for up and down.

There are wireless remote controls 12V

with up and down controls.

How could this device be retrofitted?

Safety is acceptable as:

always up will trigger the manual hoist stop;

always down will simply lower the 30kg object 2 meters to a clear floor, slowly and unwind too much cable.