Y’know what, I think I’d find that particular one less disturbing if the mouth didn’t move at all. It’s the occasional movements which are jarring.
The eye contact thing is fascinating (IMO). Most non-autistic people will spend most of their time looking at the right eye (left as you look at it) of the person talking, then do a quick triangle from mouth to left eye then back to right. Autistic people will focus on the mouth and occasionally do a triangle round the eyes.
Aware that I’m really not very far along the spectrum, but when I was told about the mouth thing it became so obvious that was what I do. For me I think it’s probably about focusing on the speaker - I get really distracted by noise (struggle massively in even slightly noisy bars and restaurants) so focusing on people’s mouths keeps me focused on that sound.