So you are saying that a lighter flywheel will get a car rolling from a dead stop faster.
You really can't believe that right???
A ligher flywheel has less stored inertia to start the transmission/wheels moving. This is that simple physics you mentioned!
It's also one of the reasons drag racers often use a heavier flywheel.
BTW - how would lighter wheels transfer less energy from the engine to the transmission? (I definitely see what mean, but it's not really the same comparison as you make it)