Nobody has yet turned off FM radio in favor of digital radio. Norway is closest to having done so - all of its major networks are digital-only now, but there are still some FM stations on the air, mostly specialist and smaller local stations. Switzerland is in the process of a switchover, but I don't know how far through they are with it. The UK is the country with the longest-standing DAB network, and FM is still in heavy use (it's still about 33% of listening).
I don't think there'd be a market for yet another digital radio standard - there's already HD Radio and DAB, which offer different things to suit different markets - HD Radio suiting the more fragmented US market better, while DAB supports more regulated radio markets in the likes of Europe. France started to try out its own DMB standard years ago, but is now rolling out DAB (specifically, DAB+ which uses more modern audio encoding) in line with the rest of Europe.
As you say, the time is nearing where IP will be the default - mobile coverage is getting better and better, it's already the main way I listen to radio in my car, and at home I use a smart speaker rather than a DAB radio. Fiddling with broadcast modes, whether that's messing with FM as in the OP's hare-brained idea or rolling out a new digital radio standard, seems a bit like a case of shutting the stable door with the horse five miles down the road.