It's not that I don't agree, I'm just not hearing a good argument for it once we rule out...
1.) acceleration
2.) climbing
3.) speed
I could say "feel" but that's probably more a carbon vs alloy thing. (tubular vs clincher?) So I guess I'm after the *how* in regards to "riding enjoyment".
Heck, I was going to argue *for* lighter wheels being able to "spin up" faster but you quite emphatically shot that idea down in another thread. (Possibly netting better climbing, though admittedly I think speed is more aero-related than weight)
In the automotive world, everything that rotates has an effective weight which is quite often considered. "Flywheels" (as WhyFi mentioned) and I'd also mention consideration at the wheels, including rims, tires and even rotors. They all need to be carefully considered in acceleration and braking. (rotating mass)
And as such in the automotive realm....I'd ultimately love to hear an argument *in favor* of any benefit in the three aspects above as it pertains to lighter wheels so I could justify some lighter wheels for *myself*

but my best efforts only result in an answer that says a quality 1,600g alloy wheelset is about 99% of the best wheels you can buy.