Whether it is true to puzzle games isnt relevant to the statement thst it is true of RPGs. You are again expanding my statement beyond its scope. If you agree thst it is true of RPGs, then you agree with my statement, regardless of absolutely any possible question regarding other types of games.
Every role playing game with a weak story would be better as a game if the story were improved.
Before anyone tries to um actually at me, improved does not mean "increased in amount of game time dedicated to it" or anything else like that.
The best dungeon crawler would still be better if it's minimal story were somehow executed better, built a world more effectively, implied motivation more convincingly, etc.
The fact that a RPG can be good in spite of a weak story doesnt make story orthagonal to RPG quality, it just means that games are more complex than one overriding factor of quality.
They can also be good in spite of weak gameplay mechanics. Ive never seen anyone claim that mechanics are orthagonal to the quality of an RPG.