There’s a trade off. To get that higher turn rate you are also sacrificing airspeed. This means bleeding energy. It’s a contradiction to argue that this is bad when you want to say TVC won’t make much of a difference, but good when you want to argue supersonic maneuverability isn’t useful.
Once again, learn to read. I didn't say TVC won't make much of a difference, I said specifically that it's a one-off thing. It reinforces WVR as a death zone engagement where aircraft want to avoid because it's too difficult to have enough superiority to avoid attritional combat.
As far as higher turn rate, you do sacrifice airspeed, but you're assuming it's difficult to reinsert energy via sacrificing altitude or just adding thrust.
One big mistake I think you're making when you consider supersonic maneuverability as dogfight maneuverability is that you're treating supersonic energy as linear or quadratic. In reality, there's a highly non-linear factor added when you get supersonic energy. The Mach barrier means that there's a spike in energy needed to go supersonic, so when you bleed off the potential energy you bleed it at a greater rate than you would were you to stay supersonic or stay subsonic. The additional energy at Mach 1-Mach 1.5 is less than it may otherwise appear for this reason.
Lastly, I want to go back to the Song Wencong paper. In the design paper, he talks about supermaneuverability. But strictly speaking, supermaneuverability refers to post-stall maneuvering, which is an instantaneous maneuvering factor, not a sustained maneuvering factor, meaning that it's more useful in terms of BVR or suicide WVR (point, bleed energy, shoot) than it is in strict dogfighting, where sustained maneuverability matters more