I have stored my car for 14 winters with the gas tank full and red Sta Bil added. I have never has a bad fuel related problem. My total storage period is around 5 months and I do not start the car at all during this time. I do change the oil and filter prior to the put away, add an additional 5 lbs of air to the tires and store the battery in my celler hooked up to a battery tender. Clean the car and put on the car cover and the car has done just fine for the short term storage.
Jack