Yes, at least in '97, for the most part. According to my '97 Ford Service Manual, the 44-07 went into F-250 HD, F-Super Duty and F-350 except the 155" wheelbase SuperCab and the 137" wheelbase Chassis Cab with E4OD. Those got the 13-56.

Of course we are talking about Ford, so my best guess is that those trucks always got those transfer cases except in the special situations where they didn't. But my '97 F-250 does have the 44-07.