My mare who I’ve owned since birth (in utero sale, and I worked for the breeder at the time) grew up to be a cribber. She’s 11 now, started cribbing at about 2.5. My experience with some of the common cribber phobias:
Health problems- none, unless you count being too easy of a keeper
Teeth problems- none at this time, although I’ve had one dentist say her incisors might not last into old age
Muscling problems- none
Inhaled splinters- none
Fence/barn damage- The worst she has done cribbing was crack a wall mounted feeder at a boarding barn ($19 to replace). She did wear an indentation into the wood on her favorite cribbing spot, too, which is merely cosmetic. But overall, she and her non-cribbing friends do way more damage scratching their butts and necks on stuff!
The biggest issue, IMHO, is the stigma and assumptions made based on misinformation. I can understand not wanting one because of the stigma alone.