It's not that. It's that these ideas have been debated endlessly for years. PoW is the only proven system.
New nodes would have low priority level which would have more restrictions (they could submit less blocks).
Higher priority level nodes would have less restrictions (they could submit more blocks than low priority nodes).
But now you've opened yourself up to a more insidious form of attack. A cabal of miners can work towards cutting out nodes to decrease their priority levels relative to that of the cabal. A monopoly forms where the cabal has high-enough priority that they are essentially in control.
In other words, you are proposing "barriers to entry." This is exactly what monopolists want to reap profits and control greater than what they would be due in an efficient market.
How would ANYONE exclude anyone else this way? If my pool is not changing IP it wont loose it's priority and anyone else can gain that priority by simply being steady (not changing ip) and mining. What are you talking about? Anyone would be able to enter from scratch and would gain priority by simply mining....from 0...up to max. Noone could do anything to stop you from getting to max priority if you do not change ip and mine.