Many differences between the JK 44 and the old 44,dont just assume it is the same.It should.
The only D44 I know of that uses a different cover is the aluminum pumpkin D44 that was used in some Grand Cherokees.I checked Crane, Ruff Stuff, Riddler and Solid. Their D44 covers indicate D44 and do not specify there is a different cover for JK44s or anything else.
Yup and Blue Torch sell one. They are the only one that I know who does offhand.The only D44 I know of that uses a different cover is the aluminum pumpkin D44 that was used in some Grand Cherokees.