I'm sorry, but this is false. You can see exotics patients with only a DVM. In theory, you are qualified to treat exotics once you are licensed as a vet. Period.
Vet med is not human med.
You also do not need an internship and a residency to obtain board certification in exotics med. The American Board of Veterinary Practitioners is the governing body for board certification in exotics companion animal medicine, and you can qualify to sit for the board exam after 6 years of clinical practice. There are also residency programs available but they are not a prerequisite for boards.
Recognized Veterinary Specialties Veterinarians who certify in a Recognized Veterinary Specialty become a Diplomate of that RVS. All veterinarians interested in attaining Diplomate status with the ABVP are encouraged to first download and thoroughly read the Applicant Handbook. The Handbook...
abvp.com
Now, as someone who is not super into exotics, would I recommend someone go see a board certified specialist if they could? Sure, of course, in a heartbeat!
But there aren't very many of them out there, and so if a snake or a bunny comes to my door & referral is not an option, I'm going to do my very best to help them, and I theoretically have the knowledge and core skills to do a good job.