I named this Part II because on July 4th I got jumped by an elite female rider on MY hill who clearly challenged me and soundly trounced me, but with a gorgeous smile that made it all worth while.
I only used tonight's story, Part II, to introduce the question.
As I wrote earlier, my female competitor probably didn't even know we had a race going.

As for standing up on hills, I make it a policy to only ride a gear inch that allows me to do all of my hills seated.
I presently ride 81 gear inches and can in fact remain seated on my most brutal hill.
I also accelerate while seated on hills that formerly terrified me.
In pursuit, though, on that specific hill, I got out of the saddle to catch her.
I find that sometimes alternating between seated and out of the saddle uses different muscles and I can go faster, longer.