Not even close! Supply of veterinarians has been artifically constrained by insufficient expansion of veterinary schools, which has caused truly nasty market effects. Pet pharma is relatively highly regulated with American consumers paying high prices that are detached from market costs. Compare prices of medications in livestock vials or drenches vs the pet form.
I think dentistry would be more or a free market. You don't have much of the pharma issue, staffing is okay in some regions, there is decent price transparency, and insurance is not as terribly byzantine as it is for medical.