It is luck of the draw IMO. If you're willing to stock your tank around the angel then you should be fine, fleshy LPS such as acans and trachyphyllias usually gets nipped.
Saying that I have had a coral beauty for 3 years, 2 of those years were in a mixed reef tank that had scolymias, acanthophyllias etc, she never nipped at anything but the slime of my SPS.
However now i'm 99% SPS because i have a tinkers butterfly, regal angel and a goldflake angel, so the LPS had to go!
If you have a softie tank or SPS tank then personally i wouldn't be that concerned about the nipping.