Storing fully assembled, use your snap caps. Storing broke down in a case, I hold a block of wood against the receiver and fire both hammers into it. I don't like tension on the springs myself. I don't sweat the small stuff, I just shoot them and hunt, then wipe em down.

Technically speaking, your Parker Reproduction case was made and supplied by an Italian firm named Emmebi. And if we're going to be speaking technical :), the snap caps that are in your case, I do not believe, are the snap caps that were originally supplied with the gun. To my knowledge, original Parker Reproduction snap caps were stamped "PARKER Reproduction" (not Winchester) and were made and supplied by Parker-Hale in the UK.

I don't quite understand why you cannot close the lid on your case with the toplever locked to the right? Although I typically release the toplever when casing my guns in their original cases, nonetheless; all lids have still been able to be closed with the toplever cocked.

I always center the top lever. It only takes a second and I don't like things sticking out where they could get broken or cut the cloth if it shifts in a hard case. It might be put away for a quiet drive to or from the range, but it also might be going in a take down soft case for a trip in a boat or on a quad. It doesn't take much to thumb it to the right before putting it back together.

I like to take the strain off the top lever spring. Just seems the polite thing to do...., BUT DON'T USE A SCREWDRIVER OR ANYTHING METAL TO PUSH DOWN ON THE RELEASE !!! YOU WILL DING IT UP.

A Bic ink pen works perfectly for releasing the top lever. (Opposite end from the ball point)

I always bring the top lever back to center, it does not take much to release the catch.
I usually use the earpiece on my glasses because I always have them right there.

Over the years, we have had to have two different repros repaired that broke the top lever from putting the gun in the case with the lever extended. The top lever on the repro is cast and very weak. They both broke in the same place, the narrow point just aft of the screw.
We have never seen an original Parker top lever break.

All, thanks for the input.