“Mr. Bolling recalls no such inappropriate communications, does not believe he sent any such communications, and will vigorously pursue his legal remedies for any false and defamatory accusations that are made"
When someone doesn’t “recall” something as memorable as texting dick pics to colleagues and threatens to vigorously pursue legal remedies for “any false and defamatory statements that are made”—that is pure lawyerese.
Bolling is saying he didn’t do it unless firmer proof (no pun intended) is uncovered. And the lawyer is saying they would go after false accusations, but not specifically these accusations, since they will have to admit they are not false if indeed sufficient evidence is presented.