I don't think it's a problem specific to Tesla; the main difference is that Tesla's system instills a lot more confidence in drivers than tools like lane assist and adaptive cruise control (source: I have those; I don't trust them). It's a marketing and user experience problem; marketing because Tesla still insists on calling it autopilot, and user experience because it works pretty good most of the time - in normal conditions. It fails when there's a truck crossing the road or when it's confused by roadworks. The lane assist in my car also gets confused at roadworks, but it's much more likely to turn off and will start yelling at me with annoying tones within seconds of not detecting any steering input.

Tesla can easily fix this - disable autopilot if the user does not have his hands on the wheel. Disable autopilot at construction zones. Disable autopilot sooner when confidence level is lowered.