This is a pretty spot on analysis of the situation.
Even though Stephen is a flat out football idiot as well I don't think he has the same chip on his shoulder that Jerry does, the same obsessive need for recognition as a "football guy" or the same megalomaniacal personality type. He may be a new money, alcoholic redneck like his father but I don't think he would delude himself for 20+ years just because he wants to be seen as a "football guy".
That's really all the hope I have with Stephen, he may continue in his father's role for 5 or so years after he dies but I think he will be pragmatic enough to change if/when it fails.