No, Singing Bear, the die part that is sticking is the one uniquely Dillon die you have to use, all the rest can be Other brands...
Actually not completely true, as I do have a toolhead with 45acp setup using a Lee powder measure on it. Normally, though, a Dillon powder measure is used, and that is what sticks on new brass.
Foothills, thanks for the tip on lubing the funnel.