As someone that has icy conditions on sloped driveway to deal with, here's a story.
Last spring my SIL was dropping of my grandson as he does every Saturday morning. I knew the driveway would be icy that morning. It was warm the day before to get some melt and it was sub zero that night. I did not get up early enough to spread salt that morning so I was at the bottom of the driveway to meet him with a sled to pull my grandson and the days supplies up to the house. Instead of stopping he waved at me and spun his way to the top of the driveway with his studded tires. He got out and got the boy out and when he closed the door on the car it started sliding and slid over 100 feet all the way back down to the bottom of the hill. Luckily, no one was hurt and no damage was done, but it could have been worse.
He learned an important lesson that day.
Would I trust my tractor on my driveway with just studs? not a chance, not when I know the ice can get so hard that studs cannot dig in. I wouldn't even use ordinary chains. I use studded diamond pattern chains. I have no problems even when it is so icy that you can't stand up. I ordered the set of chains I have now before the tractor was delivered. Quite expensive, but worth every penny. Driving over the ice with them is sometimes enough to scar it up so you don't slip on your butt when you walk over it.
But I also went through 600# of salt last spring to keep it save for cars, and we run studded tires on all of our cars.
I don't have a paved driveway, just stone, but it really wouldn't matter to me what the chains might damaged if it was paved, safety is far more important. I just take is slow when I need to be on the road with them.
