If the Machine shop doing the resurfacing is competent, there should be NO
problems, I resurface my flywheels each time I replace a clutch.  Making it
thinner and more prone to warping is not an issue if it is done correctly.

Two edged sword.... with a mechanical clutch linkage, there were never some
of the concerns we saw with early hydraulic linkages and the inability to
release the clutch after machining....

However, adjustment allowing, we can reduce the rotating mass of the
flywheel through weight reduction at the cost of increasing fragility
reduced mass means increased thermal effects. This is nit-picking at it's
best....

In the shop.... the condition of the flywheel detemines whether I will
deglaze, machine or replace it.

The only thing that I might "write in stone" is the admonishment to never
write anything in stone....