there are many trainers who would welcome licensure to ensure a minimal standard in personal training. Such legislation, however, is on state level. There would need to be a spokesperson for this legislation in every state, and, to my knowledge, there is not one organization that would carry that banner.
I found that even massage therapists are not required to have a licence in every state of the union, such as Kansas and Oklahoma. And many states have not enacted laws until the 1990’s and even 2000’s.
On the other hand, there are many highly respected organizations which provide nationally accredited certifications. I am sure those will meet the standards of whatever licensing may happen at some point in the future.
The information about those organizations is available but many consumers do not care enough to check credentials of trainers whose services they are enlisting.
While I am sure that there are trainers who are not qualified, there are many who are, and I am equally sure that those are in the majority.