I am livid right now!
According to the NFLPA and Brady's agent, Don Yee, all of Brady's phone records, including calls and texts, were provided to the league. Brady destroying his cell phone (as every mega celebrity probably does), is totally irrelevant.
I don't think the "records" were copies of the texts. Rather, if anything, they'd be copies of phone numbers Brady called / texted. Apparently, Brady told the NFL to dig through the records, and to contact the cell phone provider for the info they wanted. It's doubtful that the cell phone company would have complied with that request without a subpoena, and even then, companies aren't always compliant.