Ben Shapiro (not exact quote, paraphrase)

If that were true, a female could never be a "policeman."

The name of the organization (or title) doesn't dictate the rules of membership. This is just silly.

He probably meant that it is a male-only organisation, and that is reflected in the name Boy Scouts. As in, it's for  boys , not non-boys.

Whether he's correct or not depends on the supposition that the organisation is male-only. That would depend on the admissions policies of the organisation, not the name .

If he were literally suggesting the name implies non-boys cannot join, then he has cause and effect backwards.

This could be Affirming the consequent.

The converse error is as follows:

If X is the case, then Y is also the case. Y is true, so X must be true as well.

So his statement follows that same converse error:

If and organization is for boys, then the name will usually have “boy” in it. The name of the organization has “boy” in it, so it must only be for boys.