I read with great curiosity the defense of the Beijing fly trap, roach trap, or whatever you want to call it.

Not much of a defence has been put up by THEKING re said school, and quite rightly so! It seems by all accounts to be among the lower echelons of Chinese private schools, but that said, it''s still miles better than many training centres as a workplace. I am also of the opinion that those two international schools in Beijing you applied to are naive to think that any foreigner who has taught at Huijia of Beijing is a dodgy employment prospect. But of course, many Beijingers are far too conceited,, including those in the education sector there. It's a good thing that China is vast compared to Beijing, as this means there are many openings for foreign teachers throughout the country, in addition to those in Beijing.
If you really want to teach at an international school in Beijing, you'd be well advised not to mention Beijing Huijia in your cv the next time you apply, given that having taught there has ruined your chances of getting a job at an international school in Beijing on two occasions to date.