I've actually heard a station doing this. I don't know if the analog transmitter was taken down for routine maintenance and they left the HD up, or it was some sort of glitch in the system, but our local country station WKSJ in Mobile has done this a few times in the wee hours of the morning. When the station is tuned with an HD radio, there's static on the main channel, but the HD light flashes until it syncs, and then music out of the ether. Of course on analog radios all I heard was HD fuzz on the side channels and static on the main channel.
Very strange.