Storing Sporran with Belt Inside?

[Bugbear]

* The answer to the question comes from MacMillan of Rathdown; see his post. It turns out that keeping the belt rolled up inside of the sporran will not dammage the sporran, and is also practical. *

Should a sporran be stored with something inside that keeps it expanded?
I'm asking because I've been keeping the belt for one of my sporrans rolled up inside of the sporran and it keeps it expanded. I don't know if this is harming the sporran, or if it even matters.

It is an actual 3/4" men's dress belt that is being used as a sporran strap, and not the chain or kilt straps that are made for sporrans. These are the type of sporrans that have the stiff front and back, but softer, flexible sides. All but one of them have the leather-flap closure.
Any other tips on storing a sporran would be appreciated.

Thanks.