There's nothing wrong with using your AT gear at a resort. Actually, to a degree, your gear will probably see less wear on a resort than during traditional AT use.
When climbing hills, your bindings and boots will see on the average a few thousand steps each day. That's thousands of actuations of the pivots in the bindings and the boots. On a resort, your clients would probably leave the boots and bindings locked out most of the day. On the flip side, your clients will be getting more runs in each day, which will likely result in more wear on the bases and edges, but if your clients are sticking to groomed runs, then the wear should be almost negligible. Riding through wild terrain, climbing up and down over stumps and all the other unknowns in the deep snow is where you're more likely to rip a skin or gouge out your bases.
As far as safety goes, as long as your AT setups have bindings with DIN settings then you're fine.
Ultimately, the wear and tear on your gear will depend largely on its intended use and who's using it. There's a broad range of types of AT gear from big mountain use down to ultralight randonee, but the super light randonee skis with dynafit style bindings and no brakes probably wouldn't even be allowed at some resorts, but everything else should be just fine.
The only real reason you would deny people the ability to take your gear to the resort would be store policy. You mentioned you wanted to reserve the AT skis for people who actually wanted to go use them in the backcountry for AT skiing. If that's your philosophy, then that's your prerogative. But as a business model, it's good business if people are renting from you more than the competitors.