no such thing as a factory rear bumper, they were all optional items ordered separately.
the styleside bumper (i call it the car bumper) was the only one produced by ford.
the wrap around bumpers like the one in your pic were one of the more common type installed;
either the flareside type or the dock bumper
the corners of these are weak, the dock type especially so, and the tin is prone to rusting.
i first used a sliding rear bumper, made for trucks equipped with campers ,beefed up with thicker diamond plate and fixed so it did not slide anymore but recently switched to this homemade job so i could have the receiver hitch
i modified the center section so the license plate is fully visible and it is now a beefy version of the uni styleside rear bumper