There should be very little if any strobe effect with high frequency solid state ballasts. The old transformer ballasts operated at line frequency of 60 cycles per second. The human eye can see that as flicker. The electronic ballasts operate at 20,000 cycles or higher. Your eyes can't see that as flicker. If your saw blade was running at that speed, and IF all your high frequency lights were syncrhonzed (which isn't possible), you might see something. With the old lights all syncronized at 50-60hz, it was easy to see flicker.
From a site that knows more than I know.
"Electronic ballasts usually supply power to the lamp at a frequency of 20,000 Hz or higher, rather than the mains frequency of 50 - 60 Hz; this substantially eliminates the stroboscopic effect of flicker, a product of the line frequency associated with fluorescent lighting (see photosensitive epilepsy). The high output frequency of an electronic ballast refreshes the phosphors in a fluorescent lamp so rapidly that there is no perceptible flicker. The flicker index is used for measuring perceptible light modulation ranges from 0-1, with 0 indicating lower possibility of flickering and 1 indicating the highest. Lamps operated on magnetic ballasts have a flicker index between 0.04-0.07 while digital ballasts have a flicker index of below 0.01."