We don't have a state inspection other than the smog test every two years ..and the smog station or DMV computer to which it links should not trigger anything that questions if or why " sufficient mileage " has been logged on the car since the last test.. especially for people with multiple cars - the assumption is that lack of mileage simply reflects that particular car may be a garage queen, rarely driven, if at all.. but, you can only use that reason once, at the next test two years later they'll wonder why the mileage is identical, after all , you had to drive the car to the smog shop, LOL .
As for the myth, by every technical fact whether the car is moving or not there should be no effect whatsoever on zero-ing out the trip odo, and yet the coincidence of countless incidents where the gear breaks simultaneously with that push of that button while the car is in motion, and no record of it breaking when the car is stationary is uncanny ..bizarre, to say the least .
And I would not drive the car to L.A. to save $ 200 lmao, but since I drive it there several times a year anyway, if they can do it in an hour or two while I go have a coffee ( or a glass of wine ) nearby, it's a " why not ? " type of thing...