I mean...TNA has been mentioned, not directly like ROH or NJPW, but certainly alluded to in a way that everyone knows what you're talking about. It has outright been mentioned on DVDs, some of the pre-show panels, and Austin's podcast. AJ's history as the face of TNA was a pretty big part of the feud with Cena without every actually saying TNA, they brought up Sting's time there, Booker and Flair have talked about it, they've talked about AJ vs Kurt, Kurt vs Joe, Sting vs AJ, etc. With TNA, there isn't much benefit because they've been so petty anti-WWE since day one that giving them any legitimacy is off the table.
Although they did use Apter pics of Roode and AJ in TNA on WWE TV, but cropped the logo out if they were in the frame