First of all, it's the luck of the draw. Meaning it comes down to the individual fish and not necessarily the species. Also depends on what you're keeping.
Is the tank SPS, LPS, Zoas, etc?
My tanks are and have been SPS. I never kept an Annularis but I have kept big French, Majestic, Queen, Goldflake with no picking.
On the other hand, I had a Flameback and he picked on everything.
My theory is, if you see a fish that you really love, and are willing to take the chance, then go for it.
Ken
Any interest in an asfur? From what I've heard, they are one of the more reef safe larger angels.
they are beautiful....just a real pain to get to eat prepared foods. i would consider them safer than a annularis but definitely not reef safe.
I have a regal and a full size Asfur in my reef, both are excellent with corals. I don't keep zoas, brains, or acans because I feel that would be asking for trouble, but sps and various other LPS/softies are fine.
I feed several times a day and I have a fairly active tank. I tend to see certain angels nip when they get bored - but again, that comes down to individual fish. Both species are generally considered good candidates for reefs whereas the annularis is not.