Very interesting indeed. Personally I think this might be very smart. Because it will appeal to people who don't usually care about Broadway. Because they don't realize it's a commercial for a Broadway show.
I don't know how about you, but when I see a commercial for, say, cars, I usually tune out because I'm not bothered. I think many people might do the same thing with "normal" Broadway ads.
But here you just listen to the song with a "Oh, just another Broadway commercial"-like prejudice, and maybe/hopefully a few people will thing "I like that song", and only then they realize it's from a show. And maybe then they'll want to see it.
Will it work that way? Who knows, but it's certainly an interesting concept!