Let's see if I can take this a little farther.
Mike G. said lighter is better once the clutch is fully engaged and that's very true. A light flywheel is less rotating inertia which has the same effect as a lighter car weight. A sprint car with no transmission uses the lightest flywheel possible for that reason.
But a heavy flywheel can help with acceleration of a heavy car, especially with a small engine. If you dump the clutch with a light flywheel and you have traction, rpms will drop. A heavy flywheel won't let the rpm drop as much - so the engine won't bog down. Back when NHRA had the Modified classes, the F/MP and G/MP as well as the H/G cars had 283 or smaller engines and weighed over 3500 pounds. The typical combination had a 50 or 60 pound flywheel.
Likewise on a small engine/heavy car you can get less rpm drop on a gear shift with a heavy flywheel.
All this is a back and forth deal on launching and shifting vs. acceleration in a particular gear, vs. car weight and traction. Shift points and gear ratios play a big role here too.
In the end, with a lot of combinations including many stock ones, a 25-30 pound flywheel is the best compromise. That's why stock flywheels are 25-30 pounds. And much of that takes into account part throttle everyday operation as well as performance.