Your insistence that someone who feels burned by boiling water(4e level of sameyness), but doesn't feel burned by luke warm water(5e level of sameyness) is suffering from Cognitive Dissonance, is flat out wrong. Plain and simple. We are not being inconsistent by finding different levels of sameyness to be different.
No, it's cognitive dissonance because the water is the same temperature for both editions. Yet, funnily enough, only the 4e water burns.
See, your "different levels of sameyness" is the core of the issue. The fact that you insist on only looking at a tiny slice of the game (PHB 1 and DMG 1) in a game where "core" was defined as ALL BOOKS, and refuse to accept any alternative evidence simply displays a lack of willingness to accept that your definitions of "sameyness" don't really hold any water.
A: All the classes used virtually the same resource recharge mechanics.
B: Well, actually, only about half of the classes did, the other half did not.
A: Well, those other ones don't count because... reasons. They were trying to fix the ship.
B: Umm, PHB 3 was released before the right turn that was Essentials, and included several classes that used different recharge rates. In fact, most of the Powers books, that were released before Essentials, presented classes that changed the recharge rates.
A: Stop with pesky facts. This is my opinion and you can't tell me that my opinion is wrong.
B: .... err...
