I think that I would say the same, but maybe phrase it differently.
Why tell ATC you have a problem if you don't want them to do anything about it?
If it's a question of "a problem shared is a problem halved" then remember that you have given them half a problem to worry about.
If your situation is grave enough for you to warrant a priority landing, then it is grave enough to warrant blues and twos.
If, on the other hand, it doesn't, then keep quiet about it and taxi to the maintenance hangar on arrival.