pot, kettle, etc.
Let's put it another way. You literally assume that the PLAAF is run by simpletons and idiots who want to simply build a better aircraft than the United States, when the Chinese military tradition has always been about asymmetrical warfare. You NEVER meet the enemy's strength with strength. Do you really think that somehow the J-20 is going to be engaging in daring dogfights with the F-22, guns blazing, when we haven't even been able to confirm a gun port on the J-20 and HOBS on both sides are simply going to turn it into an attritional battle?
I am not saying that the Chinese are not playing the air superiority game; for them to set the J-20 up as a pure interceptor, the J-31 would have to pick up the slack and the J-31 is a strike fighter, not an air superiority craft. I am saying that the Chinese are playing the air superiority game THEIR way, not the same way the Americans or Russians are aiming to do, with highly-stealthy and subsonic maneuverable aircraft. The goal instead is to have a fast aircraft that has strong maneuverability at high speeds. Look at the J-20's aerodynamic design. It is an aircraft with relatively low drag, even if it's not as low as the VTech model (we have confirmation of Mach 1.4 supercruise with AL-31 / WS-10 engines), as well as long-coupled canards and TVC for exceptional supersonic maneuverability.
If it has to sacrifice subsonic maneuverability to do so, so be it. With F-16 level STR, it's roughly around the same level as the F-35 and behind the Eurocanards. ITR shouldn't be that bad, given the presence of both canards and TVC, but it just means that the J-20 is like the F-22, it only goes to WVR battle when it has to and would rather keep the fight BVR whenever possible.