Even with your simplistic fossil fuel car in your example the alternator within can also be used as a motor.

Not by “simply reversing the flow” it can’t. You’d need to remove and replace many components, just like the example of changing an Rx to Tx system

An LED (or photodiode used as one) is a fairly simplistic device compared to an assembled receiver / transmitter. Just like you can burn gasoline in a car but you can’t push a car to turn the engine to make gasoline - it’s a complex system that really only works one way.

if you invert the flow of electrons, a receiver becomes a transmitter

Ehh not really. That’s kind of like saying if you invert the flow of photons, your eyes work as flashlights.

“It could be possible with some changes” the changes would amount to removing the receiver and replacing it with a transmitter. In this specific case I’m not sure if a transmitter already exists at this antenna and it’s definitely possible one does, but that’s not a guarantee at all