If dentoalveolar "surgery experience" is what you are looking to get, then an internship at a lot of programs would give you that. In addition to that, you'd likely get a good amount of experience in the closed reduction of mandible fractures, soft tissue wound repair, biopsy technique, etc. Certainly, a lot of the experience that you could get in an OMS internship would be applicable and relevant to the practice of general dentistry.
I imagine that you would have to look a little harder to find one that would give IV certification.
If you'll be practicing general dentistry, you just have to make sure, legally speaking, that you can perform the procedures at the level of an oral surgeon. If you f*** up something that would normally be referred to an oral surgeon, you may be setting yourself up for a big malpractice hit.