There is no chance he would be held back by his last name. Dana White is all about publicity and making his company known. He wins 3 in a row he gets an undercard bout against some shit guy no problem. How many people would be drawn in on a Gotti fight?
Even if people don't buy the fight because of him, people will talk about it. More publicity is good for UFC. Can you imagine the publicity if NY ever legalizes MMA? You put him in a fight at MSG,it would be the biggest fight of the year, even if he isn't the main event.

The Gotti name will sell.