Power is a funny thing. My old Hawk GT made almost no power on paper, but it sure felt fun to ride. (Did 200 indicated, probably closer to 170-180 true speed, but I couldn't tell the difference). A buddy's Yamaha Seca II (awful bike) had very similar dyno numbers, but felt about as powerful as a damp dishrag. I can't articulate why, except the Hawk always felt ready to go, where the Seca always seemed to need a bit to catch up with throttle inputs. The noise changed, but there was always a lag to the oomph coming in.
On the other end of the scale, I'd love to have an axle dyno that told me how much power I actually use on the street with the Tuono. I'd be honestly surprised if I exceed 100-120 hp more than a few times per ride.
As for weight, I think that matters more for some than others. If you don't do quick transitions or drop a bike fast into corner entry, you'll rarely notice weight on the move. At least not in a way that a few suspension mods couldn't fix (shimming shock, for example). Then it becomes more about slow-speed handling and paddling around parking spots. For those, carrying weight low is as important as total weight, so heavy bikes can feel manageable, and medium bikes can feel heavy.
At least until you park nose down on a hill and need to push the bike back uphill to get turned around...