Be very cautious in construction zones. You can get burned.
I think the car can negotiate bad lane markings like you showed when and if enough previous Tesla cars have negotiated the same stretch of road. At least, this is what Tesla's statements led me to believe. But -- conditions can change every day in construction zones, so please be extra careful. I have been burned, but no accidents yet. Plenty of other people have been caught by such anomalies, though.