That's really bad luck.
I've just tried this with my cheapos and a 10k resistor and within their specifications, they all agree.
That's until you hit the right spot with the range selector :).
FWIW, my Brymen BM869s also has an occasional, rather infrequent bug, somewhat similar to that: sometimes, when powered on into the VDC mode, it displays "0.0000" and doesn't update the reading regardless of the voltage across the leads. Have to power it off and back on (or just switch the mode to something else and back, don't remember) to fix this. It can be quite confusing when you try to measure a voltage and see all zeroes. However, the value displayed does not fluctuate in the LSD, as it normally would with floating leads, and that allows to spot the issue quickly and realize that it's the meter that's glitching.
I saw somebody mentioning similar, may be the same, issue with their BM869s too.
And yes, it doesn't have Cat rating certifications from two independent labs, mine just has a "UL listed" sticker. I guess that's good enough, but can't argue that having two would be better.
Nothing is flawless, unfortunately. Or fortunately. But either way can't complain for what instruments we can buy today for any given budget, even the lowest.