But using an antenna means you lose 40-48dB in the first meter for 2.4-5GHz. And then you lose 6dB for each doubling of distance, so another 12-18dB for 4-8 meters.
If you're less than 20 meters from an antenna, not only do you have those massive upfront losses, you still lose more than .5dB for each additional meter of distance.
Coax wins in almost every situation.
That means absolutely horrid performance at RF frequencies. Cable TV is mostly okay with this poor quality, you can still get a picture from the bad signal, but it might be fuzzy or dark. I can't imagine wifi would work at all under those conditions. You'd get reflections with random phase offset, and it'd probably totally destroy the signal.
What you want is probably possible, but it would require a dedicated line to each terminal run back to a central location with no splitters. At that point, you're just running worse ethernet with extra steps.