Magnets can have an effect on florescent light, but not very much. Related issues:
Cheap and older ballasts included a magnet. These ballasts make noise, flicker more, are less energy efficient, flicker/waves can be seen in video, and basically suck compared to the other type of ballast. Better ballasts are solid state with no magnets. It's not the magnet that's causing that; the technology is. Maybe someone read "Magnetic ballasts cause waves and flicker," and confused/simplified it to "magnets cause flicker"?
Motors and speakers with strong magnetic
fields can influence the electrons flying inside the tube. You know, the whole "electromagnetic" relationship. But the
changing magnetic field would be doing the most effect, if at the right (wrong?) frequencies.
Strong AC current can light up florescent tubes, for example. Again, magnetic ballasts would feel the effect more. Again, maybe someone read "(changing) magnetic fields cause waves and flicker," and confused/simplified it to "magnets cause flicker"?
Even so, look at all the speakers right next to the magnetic ballast in many old arcade cabs without problems. You would need a very strong constant magnetic field (IOW, the field a magnet produces) to mess up florescent light
Hmm... I'm thinking of testing if my rare earth magnets have any noticeable effects on different florescent lights/ballasts I cant find tonight.