Just to clarify: Yes, you can delete AnySIM from your phone after unlocking, just remember that if you are going to unlock again you need to put it back in (but there's no problem because it's probably going to be a new version, so no need to keep around the old one.)
And also, unlocks by AnySIM 1.02 ARE restore resistant; however, unlocks by AnySIM 1.1 ARE NOT restore resistant (this is due to a change in the unlock method) but you can still unlock afterwards.