It's really funny the way WWE tiptoes around other promotions sometimes. They will occasionally reference NJPW or ROH (usually just the IWGP Championship) but almost never TNA.
There's gonna be a lot of people who end up in both the WWE and TNA Halls of Fame. Sting and Angle are just the first wave.
They'll probably never induct Jeff Jarrett despite his hefty resume in WWF/WCW:
WCW World Heavyweight Championship (4 times)
WCW United States Heavyweight Championship (3 times)
NWA North American Championship (1 time)
WWF Intercontinental Championship (6 times)
WWF European Championship (1 time)
WWF Tag Team Championship (1 time) – with Owen Hart
Not to mention his massive list of belts from USWA, WCWA, CWA, TNA, and AAA. But of course, Vince doesn't own any of the video rights to those promotions.