Design philosophy would also come into it.
Americans have traditionally enjoyed overpowered engines, as such, their designers do not place as much emphasis on energy retention, since their engines can replace lost energy as fast as the plane can bleed it.
That is why the F16 is so good at sustained turns at medium to low airspeeds.
The Chinese OTOH have historically suffered from the Achilles’ heel of poor engine power, which consequently meant their designers made energy retention an absolute priority. This meant that Chinese designes are more suited to higher speed slash and dash tactics, with high instantaneous turn rates for turning fights.
The JF17 is a bit of an anomaly in that while it was designed by China, it was made to PAF specs.
The design evolution from FC1 to JF17 is a good illustration of the different design preferences, with the bulk of the design changes from FC1 to JF17 focused largely on improving sustained turn rates, but it still retained much of the Chinese design influence focused on retaining energy.
With a more powerful engine, the JF17 could probably get closer and maybe even exceed the F16 in some to most flight regimes, but such an engine is still some way off from being available. And until it gets such a powerplant, it will continue to fall short of its full potential.
That may be partly why the BLK3 production has been pushed back.
Do you think it is pushed back to align with WS-19 finalisation? Not sure if there's another suitable engine. Certainly the WS-13 is not much better than a standard RD-33 variant, if at all.
Pushing it back for a better engine only makes sense if there's no immediate need for it. This is arguably not the case given IAF's pretty clear advantages over PAF, but even if it were so, bringing about all the electronic and avionic upgrades is surely more useful than a bit more thrust. Particularly if BLK 3 can shoot PL-15 and PL-10. I would imagine any delay to BLK 3 is due to certain subsystems (not limited to WS-19) still being evaluated at the moment, if they are ready.