Road obstacles are static and can be seen by not “out driving your headlights”. Animals flinging themselves into the road cannot, in many instances.
I suppose we're meant to interpret charitably here, but it really seems to me like there is a big difference between the scenario described and the one you're talking about, where the deer really does fling itself out in front of you.
incidentally, i’ve also had the tesla dodge a deer successfully!
autopilot has improved in BIG ways over the past 2 years. went 700 miles in one day on autopilot thru the mountains. no issues at all.
that said expecting perfection from a machine or a human is a fools errand.