Since you can't watch both, I'm not really sure. But when NBA LP or NHL CI shows over the air games, DirecTV usually inserts DirecTV commercials over the ones being showed on those channels. They used to keep the feed from the arena on...occasionally they still do, and you can hear the announcers talking during commercial breaks, setting up replays for when they're out of commercial, etc.
During Dallas Stars games the cameramen used to zero in on buxom women in the stands during the commercials...it was comical.
Sandra