His answer (just glancing through it) seems reasonable.
First of all, no comments were really made about J-20 or J-10C (PLAAF's) radars. He used public information for the two smaller export AESA's designed for JF-17 block 3, a much less capable radar than J-10C's in service with PLAAF. To say nothing of the J-20's which would be more capable than J-10C's radar.
He also talks about F-16V (block 70). Not any "old" F-16. This is literally the latest and most modern F-16 version with a very modern AESA radar.
So no, he doesn't claim that Chinese radar are weaker than old F-16 radar. He claims that the two weakest, smallest, least powerful, export AESA radars that China itself doesn't use in PLAAF fighters, are weaker (according to publicly available information) than the latest and greatest F-16V's new AESA radar.
None of this would be surprising. The F-16 has a larger radome than the JF-17. The F-16 has a much more powerful engine than the JF-17. It has more room for auxiliary power units and probably other advantages over JF-17.
Basically the answer compares the latest JF-17's radars (options from 2018) to the latest F-16V which wasn't even in service anywhere in 2018.