And Pass amps use choke filters in their supplies too, but the question was why they are not more common, not whether they "can" work. I don’t need Mike Moffat and Jason Stoddard’s blessing for my comment and I expect across a table with engineers, their answer would not be much different from mine.
The fact it "impresses" you means it already "works", even if it does not make sense. It sounds really cool from a marketing standpoint. Choke regulation used to be common in linear power supplies.