Our Kitchen slide is the same. No floorspace, just some carpet to cover the transition between main body floor and slide. When DW stands in front of the stove to cook dinner the carpet flattens out
. When she doesn't cook, it settles on its own eventually.
You can try holding the carpet upwards when closing the slide, it should prevent the creasing. Either you need the remote, or 2 people. We did that for a bit, but eventually I couldn't be bothered.