Displaying watches with leather bands

[mretzloff]

I thought this thread would go best here, as seeing that almost everyone wears their Panerai watches on their standard leather bands.

My question is this: If you have a standard display case with "pillows" (such as this case or this one), does keeping your watch in there wear down the leather over time? I'm asking this because after a while, weeks, months, or years, all leather bands show some sign of wear when worn on the wrist. Do these display cases also cause this type of wear (whether in a smaller amount, the same, or larger)?

Thanks.