That's very interesting. As I describe in this post, the first degradation step of CYA by bacteria converts it to Biuret. If for some reason the Chinese had biruet in addition to CYA in their mix, then chlorine would oxidize the biruet so would lead to an increase in chlorine demand and maybe biruet shows up as CYA in the CYA test so as it got oxidized the apparent CYA level would drop. Another possibility, and one that is even more likely, is that they have urea in the CYA product since urea very likely shows up as CYA in the melamine test (see this post for more info), though urea takes longer to break down unless there is sunlight and chlorine (i.e. in indoor pools it doesn't break down very quickly).
In the Interference in Melamine-based Determination of Cyanuric Acid Concentration article, they note that you can reduce the interference by adding one drop of sodium hypochlorite (i.e. chlorinating liquid or bleach) to the CYA test sample AFTER you've added the melamine reagent and formed a precipitate. It would probably be a good idea to take a reading before adding the chlorine and then take another afterwards. The article speculates about the source of the interference as being ammelides or ammelines or chloramines, but I suspect it's more likely to be urea especially in your case where no CC was seen.
Note that the article also says that superchlorination (what we call shocking) seemed to be the consistent solution for correcting the incorrect cyanuric acid readings. This is essentially what you have been doing with your pool.
Do you know what brand of CYA you have been using?
In the Interference in Melamine-based Determination of Cyanuric Acid Concentration article, they note that you can reduce the interference by adding one drop of sodium hypochlorite (i.e. chlorinating liquid or bleach) to the CYA test sample AFTER you've added the melamine reagent and formed a precipitate. It would probably be a good idea to take a reading before adding the chlorine and then take another afterwards. The article speculates about the source of the interference as being ammelides or ammelines or chloramines, but I suspect it's more likely to be urea especially in your case where no CC was seen.
Note that the article also says that superchlorination (what we call shocking) seemed to be the consistent solution for correcting the incorrect cyanuric acid readings. This is essentially what you have been doing with your pool.
Do you know what brand of CYA you have been using?