Well from my ride logs I will say weight doesn't really matter that much. One of my heavier bikes with heavier wheels is still one of my best climbers. I attribute that to how stiff the frame is.

All that said though, I do prefer a bike to feel light under me. I've had some bikes that just didn't feel good, those get passed on. I do like light wheels for how they make the bike feel and a lot of times I'll throw a modern set on my vintage bike just for the enjoyment it gives me.

I do track all the weights of my bikes as part of the fun of collecting. It's just another point of comparison for me. I weigh them all the same, with the pedals and bottle cages on.

Right now the bikes range from 18 lbs 5 ozs to 23 lbs 3 ozs. Not counting the old Peugeot U-08 and AMF 3 speed. Those are "real steal" bikes, lol!