I'm wondering if a TVC-ed J-20 would be as maneuverable as the PAK-FA or F-22, though. As far as we know, TVC isn't baked into the J-20's design, and the PAK-FA has certain advantages (purer lifting body, airframe designed to maximize TVC advantages). The J-20, unfortunately, seems to have relatively mediocre sustained turn rates of between 20 and 24 degrees per second.
Are you thinking with or without WS-15?
Tbh even if J-20 is not as maneuverable as Su-57 or even F-22, the degree of "not as" will be important, and even then, I think merely having competitive kinematics will be enough given where the future of aerial warfare is trending towards.
Networking, sensors, sensor integration, RCS and overall signal reduction, range and endurance, production run and unit cost (i.e.: number of 5th generation fighters one can sortie up in the air at a time) is going to be far more important than super maneuverability.
That is why I'm increasingly becoming a believer that the F-35 will be the most capable air superiority
system in the world -- each individual fighter might not be as maneuvrable or fast as an F-22, but much more of them will be built with much more of them able to be put in the air at any one time, with a much more well planned and thought out networking capability with more integrated sensors.
For 5th generation fighters, I think the importance of kinematics should be now less to emphasize close quarters knife fighting at the expense of other things (like speed or range/endurance), but it should be to enable things like speed and range/endurance and maneuvrability to allow the platform to exploit a networked, system of systems approach to aerial warfare that will mostly take place in the beyond visual range domain with relatively rare within visual range combat.
Designing an aircraft for dogfighting will still be a big part of the requirements of a fighter in the foreseeable future, but it will be less at the expense of the other domains, and will be more designed to achieve a "good enough" capability in case such an unlikely scenario emerges, to give the aircraft a fighting chance, which even then might not be as important as almost all future aircraft will have HOBS WVR ImIR missiles anyhow.