Here's proof of what mine says on the side... it got nicknamed the christmas tank when I got it since it was around christmas time and it's green and came with a red canopy, so I solidified it with some spray paint and a home made stencil...
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F250's did get odd stuff over the years, I think the full vs semi float rear axle depended on what engine, kinda like the D44HD TTB and the D50 TTB are near identical in appearance except for the D44 hubs on the D44 and the D60 hubs on the D50, pretty sure this was just in the late 80's and I think I remember reading the diesels got the real D50's and the 300 and 302 powered F250's got the smaller one...