If anything it would degrade a battery much more slowly. Powering your home from a Tesla uses a full charge over days - maybe a week if you're frugal. Static power wouldn't use as much power as driving unless you were acting as a battery back up for your whole neighborhood.
But it could be in addition to using it for driving. The average in the US is 30 kWh per day, so about 3 days for a 100 pack, another 120 cycles per year. The average use for a year is about 10,400 kWh. So 10, 400 kWh divided by 0.265 kWh per mile is 39,245 extra miles on the battery per year if the battery supplied all the energy needs for the house. It would probably be less than this. Charge during cheap rates and run off the battery otherwise.
Not to mention it would cut into their sales of powerwalls.
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