Gen start via raspberry pi over RF

Has anyone tried to use the gen start feature on raspberry pi venus os but use radio frequency to transmit the signal?

Like zigbee?

I have my batteries and pi in the cottage. I have my gen 100 feet away in a shed. I’d like to use pin 40 with a RF transmitter to sent a signal to a receiver in the shed to trigger a relay which will start the gen. Something like:

I did get some things working with a Sonoff RF Bridge and node-red with tasmoto. I found that shelly and wifi worked better so I gave up.

I think that initially you would need the relay driver output for the Pi, then use that to control your RF transmitter. The receiver should be able to power a relay to start the gen.
If your gen does not have a 2 wire remote start the life gets a lot more complicated.
I have a current project to use a pi pico to control the starting of a petrol generator from a 2 wire signal.