STR is more complex than wing loading, it depends on lift to drag at different AoA as well as the engine thrust at both dry and max afterburner.
I'd also point out that a 4.5th gen and a 4th gen is not the same gap as a 5th gen vs a 4th gen; the definition of 4.5th gen is the AESA, not the PESA (Su-30MKIs aren't true 4.5th gens in that regard, nor are Su-35s). The AESA has significant advantages in that it provides substantial BVR advantages, but BVR missile hit rates aren't as good as you'd imagine, and what's more, BVR missiles often require datalinks until the active seeker can take over, which can be as low as 10 km vs a 0 dBsm target. Consequently, BVR fights have been described as a game of chicken.
As for whether the J-10 is actually viable WVR; here's a few issues. First, like most Chinese aircraft, the J-10 has a low wing aspect ratio, meaning that it'll create substantially more drag. Second, the J-10 does not have the fancy aerodynamic tricks (double lerx, body lift design) of the Rafale (although it's more sophisticated than Eurofighter with AMK). What equipment it does have are an anhedral segment in the main wing, which likely improves interactions with a mid-coupled canard, as well as a set of ventral strakes for high AoA authority. Third, wing area is relatively high, at between 28 m^2 and 34 m^2, for a wing loading of between 398 (at 11160 kg loaded with 60% fuel) and 328 kg/m^2.
On the other hand, if you compare the J-10 to the Rafale, the J-10 will win out in T/W ratio (with an engine at 142kn, it'd have a comparable T/W ratio to a Eurofighter).
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Ultimately, we absolutely don't question the J-10 in terms of instantaneous turn rates. It's claimed to be capable of 30 degree / second instantaneous turns, and the canard design should indicate strong ITR performance (the further away the canard is from being close-coupled, the better control authority the canard can implement at high AoA). The question we really want to know is how well the J-10 does as a sustained performer. That seems to be its Achilles heel.
Just as a comparison point, though, the F-16C (i.e, an aerodynamically downgraded version) at 60% fuel should be sporting wing loadings of 383.6 kg / m^2. The Rafale has 287 kg / m^2 at 60% fuel and with missiles. The Eurofighter has 273 kg / m^2 at 60% fuel and with missiles. The Gripen has 351 kg / m^2 with 60% fuel and with 500 kg of missiles.
Where the J-10 comes out ahead, though, is that at 60% fuel, the J-10 has 1.29 T/W ratio. The Gripen has .95 T/W ratio. The Eurofighter has a 1.31 T/W ratio. The Rafale has only a 1.17 T/W ratio.