Countries are spying on each other since time immemorial , and copying is just one of the reasons . But to obtain reliable data on F-22 China would have to either : a) obtain one sample and test it or b) obtain classified sensitive data from US sources . Anything else is just guesswork , especially considering micro-structural technologies US may or may not posses .
Think of it this way. Any information stolen that invoke fears of China replicating key technologies also should invoke fears that China now has intel on key capabilities. If information has been stolen on designs and materials that means they're likely to know what kinds of RAM and Radar absorbent structures those designs are using. It's not very hard to replicate the external geometry of an object from pictures alone, so if you couple that with key information on materials and internal geometry it's not very hard to build a computer simulation that is relatively accurate. With persistence, you can even fill in remaining gaps in your intelligence by varying the worst and best outcomes of the unknowns, giving you a bounded range of possible solutions. This is what intelligence organizations are paid to do. I seem to remember hearing that the security breaches involving the F-22 and F-35 were rather extensive, which is what I imagine invoked fears that China would try to copy the technologies. Coupled with that should have been fears that China will have the intel to develop effective countermeasures.
Now, with regards to the claims made about detecting the F-22, I myself remain skeptical. Defence companies have an incentive to put their best foot forward and exaggerate their claims at all times, American, Chinese, Russian, or whatever. Even if the claims don't pertain to a technology on sale, it boosts the credibility of the company and engenders trust in them to come up with the best possible solutions for their clients. This means that when Lock-Mart claims the F-22's RCS is 0.001 m^2, we should exercise some skepticism that this may only be a best case scenario. Similarly, when a Chinese company claims that the F-22's RCS is .1 m^2 and can be detected with their radar from 200 km away, we should weigh that information with an equal amount of skepticism. There's A LOT of room to fudge around with RCS numbers, given that they're dependent on a multitude of factors and conditions which can't possibly be incorporated in a single number figure. My take is that both claims about the F-22's RCS and the ability of a Chinese AESA to detect the F-22 are best case scenarios, and the truth lies somewhere in between. While the claims about the radar's ability may be exaggerated, I don't doubt that China now knows something, perhaps even quite a lot, about what the F-22's RCS will look like. After all, we know they put the work into acquiring this information, and any military and intelligence organization would do their due diligence to acquire as much information about potential threats as possible.