Don't know what you mean by "fluttering", but if they are original C-451s then they are definitely not "shot".
Sometimes things go wrong, get damaged, etc. But the 451 is still supported in all aspects by AKG. Other shops, like Audio Upgrades in NoHo also work on them. So where ever you are, you can probably have any problem solved fairly quickly.
Since you raise a question about moisture/humidity, the natural response might be: What conditions are you using the mic(s) in that cause you to think of that? If they have been used in a high humidity environment, try leaving them outside, in the shade, on a couple of hot dry days (not in direct sunlight).
You also mention "a set of 451s" and having fluttering problems. Are you having "fluttering" in all your mics, one mic, some mics? If it's in all your 451s, I would try some other condenser mics and see if the problem persists. It is hard to imagine all the mics in a set having the same problem, so I would consider the phantom power supply. Stick a scope on it, and watch to see if there is a dc problem which mimics (maybe causes) the fluttering.
Cordially,
Tom