I only had a bit time to test a few things. My prop following logic is still buggy, but it might be something else as it requires some additional steps. I will have to analyze that later and patch accordingly.
I can however say that at least MoveTo’s behavior has changed compared to the above observations. MoveTo now stops at the current transform without teleporting back to its origin transform when you override it or explicitly call stop on the animation controller. That behavior is definitely much better.
I will do more investigation during this weekend.