In my opinion it is dependent upon the specific angelfish...one flame may nip right away....and another one may not for months or years...
That being said.... If you have LPS there is a likely chance they will become a snack at some time. It may not happen right away...but eventually it would be a tasty treat for them. Specifically if your keeping pricey fleshy LPS like Acans, brains, flowerpots etc I would advise against it.
The only true really reef safe angels that I have ever kept my experience are the Genicanthus species.
Any fish can break the norms and feed on corals on occasion though. I have had even yellow tangs and blennies nip on coral and clams in the past.
If I was to stock a reef tank with LPS or SPS again, I would not add an angelfish outside the Genicanthus species.
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265 gal reef display, 60 gal sump, 20 gal fuge, +/- a few other tanks
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