Well, given how the first encounter in the books went, I don't think TT even knew Apex was involved.
Also, given how Nadia was already fucking up well before meeting him in the tower, I don't think Stratter, Gordon and Knapp had much reason to believe her.
I didn't have a problem with it because it'd be a bad look for the company (and, consequently, its investors) if word got out a TT squad refused service to a paying customer or outright executed a client during rescue based on an employee's word.