That is plausible.That really isn't a surprise if it was a ground control radar; i.e.: a radar from say a nearby airbase or base meant for simple tracking rather than a radar as part of an IADS.
If they're not even able to track a J-10C loaded with external stores and relying on an H-6 tanker then chances are the radar itself was a simple one. That makes sense, because it's not like they would've deployed an HQ-9 battery with its radar actively emitting over Zhurihe during the parade last year. The only radars that would've been active during the parade over the area likely would've been relatively simple ground tracking radars from local bases meant for simple air traffic management.
There is another possible explanation. It is AWAC instead of ground radar. The aircrafts were flying very low to the ground, there will be strong ground scatter returns. AWAC flies very high, there is a need to employ filters to counter the noise. It could be that the filter threshold was set too high that J-10C was around the threshold making it some times buried in the noise. While flankers were above the threshold enough to be reliably tracked.
Here is the translation of the text
measure 3 (to address the issue of detection): appropriately adjust the threshold, turn off as much as possible attenuations that affect detection, let in more noises if tolerable.
This would be more likely the issue of a look-down radar than a look-up one.