I wouldn't underestimate the maneuverability of J-20 with Al-31. Even before the engine upgrade it should be able to match any opponent other than the Su-35/Pak-FA/F-22 (none of which will be in the JASDF) in terms of maneuverability.
I don't want to discuss kinematics in any kind of detail, especially if it's trying to compare different fighters... but I will say that I would be quite averse to the idea of sending J-20s with Al-31s in a situation where the primary task may result in competitive and aggressive WVR maneuvering against opposing fighters.
With that said, I agree with you that the J-20 won't be used in these confrontational missions in the near future, at least not until it is widely deployed or if Japan tries to send in F-35 first. Even then, it will most likely take the role of shadowing front-line J-11/J-16/Su-30 rather than being a front-line presence itself. Given that it is a stealthy aircraft, the J-20 is naturally unsuitable for these "showing my presence" missions.
I agree, I think J-20s can definitely eventually have a role in acting as the "back end support" for 4/4+ generation fighters which will likely do the main job of flying patrol missions -- with advanced sensors and stealth, the J-20s can maintain a holding pattern a few hundred km behind the forward fighters patrolling, and help to monitor and coordinate responses and movements, and if things turn ugly and an exchange of fire occurs, J-20s can supercruise in (which they will be able to do even with Al-31s) and intervene in BVR.