A CRT Is much the same no-matter what its used for, monitor, tv, whatever. ever held a magnet to a TV? goes all funky colours, and usually ends up with purple blotches. you can the the same to a monitor, and altho the degauss can fix it, if you put anything larger than a powerfull fridge magnet near it, dont expect the screen to ever be the same again. you will never get rid of the purple blotches.
i'm not sure exactly what it does to the insides, but i know that if it affects the flow of the electron beams to the screen/mask if they are concentrated into a small enough spot they might be able to burn the phosphor, either that or the magnet can burn out the cathode filament, or mis-align the anode. one way or another, i have one crap sony i just tested it on sat behind me, and several others that have long since been resigned to the crusher at work (crts make a lovely pop), that have all been fscked by magnetic feilds in one form or another.
I used to repair monitors for freinds and my college, but i got a bit too cocky and needed to have my heart jump started and physio to get back the feeling in my right arm for a week after i got electrocuted by some godamn unsafe taiwanese crap pile that hit me with god knows how much even after i dishcharged the caps