Well of course it's very little. John's dead, Peter's serving life, Junior's retired. As far as my knowledge goes(and it's only Wikipedia, don't hate on me!) Richard and his son(if it's true that he's a made guy) don't really hold any actual power. Out of the three active Gotti's(unless there's more that I don't know of) I'd say GEne is/was respected the most due to him doing his time like a man. So it's pretty much about the power/respect that an aging Gene has. And that, my friend, I believe too is very little.