The lower part of the inner door panel is a factory molded part, at least in the 2005 model
year. It is meant to be used as a beverage holder for 12-20 ounce bottles and cans.
The upper part of the inner door panel, where either the factory cloth or leather insert
goes, is another matter.
It is a "Heat-Swaged Insert", put on, or assembled by the factory, for whatever material
that they decided to insert in that particuliar space.
If you are good at this kind of thing, you can take the door panel apart and replace the
insert with most any kind of material you like!