I can't speak for Tesla. But I have a newest generation VW with lane assist. And lots of road construction sites in my area, where the normal white lanes markers are "overridden" with some yellow lane markers, which are narrower and often also take different pathes. Once I'm inside a yellow lane and drive straight it halfway works and the lane assist keeps that lane. However on the first position where the lanes depart (e.g. normal white lane goes straight, but yellow lane turns left to change over to other side of the road) the car has not really an idea what to do and mostly follows the wrong lane --> Without manual intervention a crash in these conditions would be guaranteed.

Here in the southeast, tons of roads have leftover sets of lane markings from when lanes were shifted over. Or no lane markings because of a lag between relaxing and marking lanes.

Not sure but that's pretty confusing to me too tbh without close inspection. The car in front seems to be treating it as a fog line too.