Dropping the arm should not have damaged the cartridge. The sideways swipe might be more of an issue, but, if it sounds okay, you are probably fine. Under normal circumstances I don't see how this should ever happen. My operation is simple, I always leave the arm cued up. The only time I cue down is to play the record. I never rely on the arm being on the rest.
Ugh....dropped the stylus on the platter
I was adjusting my turntable level which somehow was slightly out of level and the cue lever was down and arm resting on arm rest. The arm rest has a small magnet that is supposed to keep it there, as there is no locking mechanism. Any how somehow the tonearm fell off the rest and bounced across the non moving platter and leather mat coming to rest near spindle. This is a moving coil sumiko blue point no 2. So, I took a look and listen and it seems ok to me, but being anal about my audio and system I cant but help stressing over it and thinking I damaged something....in 30 plus years this is the first time I’ve done this...lesson learned I guess, as next time I will ty wrap the darn arm to the rest when making adjustments.