Really? Dood, I think you have an over active imagination.
If anyone was really doing what you describe, it would be because they don't care about damaging their skis, but I really doubt most folks constantly toss and bounce their skis on the tails to the extent you describe.
Segbrown, your closet seems perfectly functional, but maybe lay down some scrap carpet on the floor to protect those tails so crgildart won't worry.
Really? Dood? You don't see/hear 15 people a day walk from the parking lot to the base then DROP their skis from their shoulder directly to the tails smashing them on the asphalt or cement with little or no caution? You don't see folks coming from the trail to the lodge then DROP their skis right on the tails at some carefully selected spot near the window or rack? Must be and East Coast thing.
Looking at the closet and the depth I think it would be difficult to put them in there in such a careless manner. It will probably be fine. But, with a deeper closet one may be tempted to kind toss them to the back when worn out from a long day.