Who said this is about fitness related accidents? It looks to me like a reasonable way to make sure that not just anybody can hang up a shingle, call themselves a personal trainer, and collect money (indirectly) from the government.
The problem with these regulations is that they have the side effect (some would say main effect) of protecting incumbents by making it more difficult to enter the field, reducing competition and driving up prices for the consumer. Witness the cost of getting a taxi "medallion" in NYC, or purchasing a "lobster quota" in my home province.
Now in some fields this the high cost of the regulating a profession may be will worth the price (e.g. Medicine, Law, Engineering, Accountancy), but it is hardly a free lunch.
