She doesn't know how to light anything properly, and I doubt she even owns any lighting equipment. Even "natural daylight" portraits need supplemental lighting (even if it's only a strategically-placed reflector or a bounced/diffused flash), but I've seen no signs she owns, much less uses, it. She probably thinks it's too complicated, and requires too many spoons to carry along on shoots.She can’t even make herself look good. Knowing the slightest bit about color theory, lighting, shadows, and composition goes a long way (and pretty much every art class would want you to know those things). Being a photographer is like being an artist, which is why both have so much overlap. It would do Jude well to take a standard painting/drawing class to get an idea of how her photos should look. Many times, she’ll choose color schemes that clash and she won’t bother taking out distracting elements from her photos. There are many technicalities that Jude is missing in her photography that no fancy camera lens will fix. If all it took to be a photographer was a fancy camera, there would be way less use for photographers.
But, as you've already pointed out, her photography has so many deficiencies, even fixing one isn't going to help much, and a better camera will make no difference at all. She has no eye. That ability to look at an entire scene and see the great photo in it just isn't there, and to the limited degree it can be taught, she isn't willing to learn because it would mean opening herself up to critique and accepting it.
(God, I can only imagine what she was like at photo crits back in art school. Once again, she's proof that art schools pad their enrollments with untalented no-hopers, coddling them through to graduation. Gotta keep that tuition money coming in, after all.)
So she legit can't see the difference between a great photo and a shitty one, hence her catty remarks about Annie Liebowitz--she's incapable of understanding why Liebowitz's photos are in any way better than her own, and blames her lack of the right camera and lens. Meanwhile, Liebowitz could shoot magazine cover-worthy photos on Jude's phone. Liebowitz has the eye--she sees how everything in the image is going to come together. And Jude will keep taking crappy, snapshot-tier photos no matter how good her equipment is because she might as well be blind, for all the visual sensitivity she has.
"It's a poor workman who blames his tools" is incredibly fucking apt, here.