What I suspect the parent is referring to is that if someone pretends they practice CBT but have no experience they may create more problems instead of solving

What I suspect the parent is referring to is that if someone pretends they practice CBT but have no experience they may create more problems instead of solving the existing ones. But personally, I'd attribute that to therapists in general, especially the ones who tend to shift the blame towards the parents (even if they don't spell it out explicitly), not really to CBT where you actually verify very quickly if the method works or not.