Agreed, DALL-E 2 seems to have real issues with faces, hands (fingers especially), and objects inside other objects (look at the beakers the teddy bears are using) and actual 3d depth awareness of objects. Looking at these it started to get really easy to pick out the AI versus a human of the style, the humans had really good attention to details like fingers, eye placement, and other facial features.
I think its less that DALL-E has an issue with them, and more that humans are just extremely sensitive to details of faces and body parts in general. It's also extremely difficult for a human to draw a hand or face. AI images only seem different in that they draw mistakes in hyper detail so you get something that's the combination of a child's pencil drawing composition and an expert painters style.
It's both, DALL-E specifically is bad at faces (perhaps intentionally?) compared to the other models.
But at the current state of things, the details are usually wrong in every subject, not only people.