Heck Chinese naval radars are more advanced in terms of hardware than US radars. Compare the superstructure of Type 055 with latest Flight IIA Arleigh Burke. I do not know about the software but the hardware is better. The only nation which might currently have better naval radar than the Chinese is Japan.
So your claim is that engines and propulsion systems are foreign but copied and made in China now and the same for weapons and sensors and other hardware, but somehow China has become a world leader in radar design and production?
I don't doubt the latter, the west has been making lots of stuff in China and the Chinese are not stupid, but there is a difference between licence producing or reverse engineering equipment to producing brand new state of the art new equipment.
I would also suggest that the Russians are beyond just making a good AESA radar, and are making sensor systems that combine multiple frequencies and sensor types and combining their capabilities to make them even more effective and powerful by emphasising their advantages and minimising or eliminating their problems.
China is no doubt an economic and production superpower, but they aren't the military superpower that Russia is.