In my experience, supressing alters only makes them more determined to keep doing what they're doing...and is frustrating for all parts. Just like you can't get someone else to do something without having them 'buy into' it, or agree to it, alters tend to behave better when they agree to what's happening. It can be long and frustrating to work with them, but is so much better when you can get there.

Not that everyone is the same, but from what I've experienced/heard that tends to be the pattern.

All the best,
IJ