Although that is one of my favorite quotes, it's being misinterpreted here.
you are correct. you misinterpreted what I said. you also apparently failed to read the OP's post. They said nothing about competitive/race/training situations, or "pushing yourself as hard as possible". They just asked about climbing hills dude, not racing or training.
Increased fitness really gives you the option to make the hill go easier or go faster in a casual/recreational riding situation.
that's what I said. I'm glad you agree.