Just like any other product out there, there are infrastructure requirements. For 95% of homes, a Tesla will provide the largest electrical load in the household (in terms of kWh consumed over a given period of time - day, week, year). We're used to just "plugging in" most appliances, because individually they're rated at 15 amps / 120V or less and as a percentage of typical service, it's a small demand. But as anyone who's ever hosted a party where 10-15 crock-pots and roasters show up, it doesn't "just work" without some level of planning for the requirements (and I'm tired of having to run to the breaker box!)
Under most conditions, the Tesla will "just work" when an RV outlet has been installed, the power company checks its infrastructure, and a load calculation for the home is performed -- especially in newer homes like Model S drivers typically have. Even if the car has to back down its charging rate because of questionable infrastructure, the car will still charge overnight, albeit perhaps taking longer than expected. But if someone is seeing that the car is regularly dropping its charge rate, time should be invested to investigate why that happens as it is pointing to a potentially unsafe condition (or maybe just slightly overloaded infrastructure).
I am concerned about the older infrastructure out there. My parents have a 100A service in a 130 year old home (formerly a 60A main+range+4branch fuse box), and no room load-wise for a Tesla charging load beyond a 15A 120V circuit. Tesla will have to help customers get that type of situation fixed as the model E comes into focus.
You can't blame this on Tesla... anyone who would buy a model E, plug it in, then complain at Tesla when it senses abnormal voltage fluctuation ("because everything else in the house works fine") is not seeing the entire big picture.