I'd certainly listen, even if it wasn't tape delayed like it was on Sirius.
But I doubt radio would go for it, as it would be an interesting commercial-free alternative to (fake) local radio. Plus I don't know of anyone who thinks BBC R1 is actually any good. Everyone I've tried to turn on to it says it sucks, with too much talking and "too unfamiliar music". I thought that was the whole point — personality and being exposed to new music we don't get here!