This is actually a great question. All training programs are different because they have different:
1) Patient populations: Some programs are in private hospitals (Mayo) where they do more expensive, non-insured procedures like implants & cosmetic surgery. Other programs are based in county hospitals (Shreveport) where none of the patients have funding....these patients need lots of extractions and repair of their facial fractures from always getting their asses kicked while gang-banging. Trauma is one of the best ways to learn to operate (in my opinion) because every case is different and they're already f'ed up. I would beware of the programs without much exposure to trauma.
Also, some programs are hospital-based and others are dental school-based (many have both). You can theoretically get exposed to a wider variety of patient with more types of hospitals (VA hospitals, Children's hospitals, private hospitals, county hospitals, etc) although there are some "all-in-one" hospitals where you may see everything.
2) Faculty interests: You're training will only be as good as your faculty. There are some places where the faculty just aren't interested in stuff outside the mouth for some reason. You can't do cases if you don't have faculty to cover you. And those patients will just get referred to other places. On the other hand, some programs have faculty that like to do anything and everything (Shreveport).
3) Competing specialties: ENT & Plastic surgery are competitors in the academic world, but less so out in private practice. Many places have a strong ENT or Plastics program which may have the tendency to overshadow the other 2 departments. To a certain extent, this is political and also goes back to the faculty....you're only as strong as your faculty. On the other hand, the OMFS department in Shreveport (and other places) doesn't step aside for anyone and doesn't let anyone walk over them.