That guy at home is holding the shotgun by the barrels. Acid from your hand will rust it. You carry it the way Cruz did, by the stock.
Yup. It twists my shorts when newbies insist on fondling the steel on my blued carbon steel firearms.
I prefer muzzle forward. Especially long trap guns balance better. You don’t have to worry about rust. You clean your gun every time you put it away.