What is good or bad may be subjective sometimes.
I believe if the OP states by a straight comparison that one of his attys is not on par to the other, it may be bad regardless if it works dripping (giving he has tested/use both the same and having the experience he mentioned with such
devices).
My first 2 attys were phenomenal, both worked great, tons of vapor and flavor. Being the first ones, I abused them and learned with them. My following ones, were ok both worked but were not close to the originals I received with my kit. I settle for those thinking it may be the batch/vendor/experience. When I tried another one, it was like my first pair. Lesson learned, some attys are not good. Not defective, not bad quality (perhaps), not malfunction
but simply bad. Simply put, not on par with other attys.
None of my Joye or SLB attys look like the second picture posted, but I understand looks can be deceiving. In the other hand, if a cart doesnt work for me, I would catalog the atty as bad since all atomizers should work with carts (regardless being best to drip) since sometimes dripping is impossible (driving being one example).
If OP tested and tried everything to make it work with carts and it doesnt deliver the goods, then I stand with him believing it is a bad atty. Replace it or keeping for dripping only. You can never have enough attys, and mostly if bans get into effect.
PD. Im a guy. Yeah, my avatar is a strawberry, but it is because of the picture, it a difficult picture and was my first difficult shot, so I use it as my avatar almost every forum I use (mostly photography).