It's a very fine line between enjoying new-found fame and making the most of it, and becoming over-exposed and tedious.
Different programme makers want to cash in on a popular personality, hence the frequent appearences - but as long as the individual doesn't lose what made them appealing in the first place, they can skate the thin line successfully.
The dread is becoming like Terry Wogan, who morphed into a bizarre caricature of is original self, adopting speech patterns and vocal cadences that made him sound like an alien who used English as a sixth language.
Hopefully no danger of that with Bradley - I avoid the others mentioned, they don't entertain me at all.