Here's my two cents:
Most vets do NOT know everything (anything?
-
kidding) about nutrition. However, if your pup is on a medication, I'd be very wary of introducing new foods right now. It will be easiest on his system if you just feed him a good, high quality dog food and not mess with things right now. More importantly, if he eats well now, I would NOT add any new foods. You never know when he will start refusing to eat his kibble without scrambled eggs, and then you have a serious problem on your hands.
So... while scrambled eggs are fine for dogs to eat (in small quantities), I'd hold off on it for now.