Aside from the battery in the keyfob, what about the car’s battery? If left connected most cars would drain theirs within a month or two. Also, if left discharging/ed like that for too long, the cells can start to sulphate, leading to a bad/non-working cell.
Honestly, it’s become so much of a habit that I would sometimes use mine when turning around the perimeter of a parking lot without thinking, despite it being a corner where a turn is the only option.
But, I don’t want to smudge my screen. /s