I actually don't think he will be, which is a concern.
I think if you look at things from a neutral point of view then it's pretty clear Livermore would be a cut above next season. I can't see many clubs in the Championship who would say no to him and I imagine he'll get offers from newly promoted \sides who just survived.
But let's say you're right, and players like Livermore, McClean, etc aren't good enough for the Championship... Considering our approach to transfers, the money we'll have available, etc, do you really think we'll be buying players who are comfortably better than those? Based on what?
The problem is expectations and whether as fans we'll realign them. We expect more from McClean\Livermore because we
are were a Premiership side. If you put those two players into a side that's in League 1 the fans will rave about them. Our fans appear to be way more 'scapegoaty' than we used to be so even if they stuck around I don't see things changing for them.