Storing Sporran with Belt Inside?

[Bugbear]

I have a brown Stillwater econemy, and a black econemy sporran.
Also a brown Stillwater, daywear, bunny sporran; the kind with the leather flap.

Finally, I have a Celtic Croft cromed cantle sporran; kind of a dressy thing but without fur, so that is four.

The black econemy sporran is usually the one with the strap inside it, but I have now put the bunny sporran's belt strap inside it.

Those are both using the 3/4" belts, but the chain straps are not in there.
The sporran with the cantle is stored flat without it's chain strap inside... or attached for that matter. I don't want that chain touching the cantle. Before long, I will be making a cloth bag for storing it, and have an attached pouch for the chain strap.