Maybe someday he will, but if he feels he has the resume and the skills to coach at the highest levels, why would he not exhaust those efforts first?
Seriously, without the 'incident', and given that after Joe, PSU was going to look outside for its new HC and likely much of the staff would have been replaced, why do we think that Jay would have had a tough time getting interviews? There are many coaches' sons on their staffs at every level.
Thinking Jay was unique or had not earned his spot is unfounded grumbling based on emotion vs. the likely reality. Jay coached at UMass and JMU prior to PSU, remember. I doubt any of those spots let him sit idly by and tell people he didn't need to work hard. He learned from Joe - just as we are rightfully very proud of the players who played for Joe because they carry that PSU football work ethic with them throughout life, knowing they have to earn their spots in whatever field they choose, I go with the assumption that that same impact was felt by Jay and reinforced by Joe. I'd guess there were many more moments when it was tougher being Joe's son on the staff than it was easier. Again, I wasn't a huge fan of Jay's, but I was of Joe, and I believe Joe held Jay to the same standards he held the others on the staff.