<--- Note my location. Winters here are 4-6 months long normally and have been known to be as long as 7.5 months.
I have read many comments about chains chewing up asphalt driveways. Most of those comments are written by folks who live in areas where deep frost is not an issue and unfrozen asphalt is.
My next door neighbour has an asphalt driveway that I have kept clear, for the most part, for 20 years and he has contributed to that effort for the past 10 years. He inherited his father's 12 hp Roper with a snowthrower, chains, and wheel weights and has a wonderful time spinning his tires up and down the driveway. I used a MF1655 with loaded tires, chains, a FEL and a back blade. On a rare occassion, the tires spin. Neither of us has seen any signs of spinning the chains on that asphalt come spring, let alone any damage caused by such an event.
The Roper weighs somewhere around 550 lb without the thrower and with the weights and chains, your 318 will weigh over 1000 lb without a blower or blade and with loaded tires and chains, and my 1655 weighs over 1100 lb before adding 320 lb of calcium loading and 30 lb of chains to the tires. Since blowers, blades, and buckets are on the ground when maximum tractive effort is required, I discount their weight, and I didn't include the 400 lb of weight of the FEL structure on my 1655.
The chains on the 2wd 1655 contribute to it's superior traction over even a 4wd tractor of the same weight that doesn't wear chains. I know this for a fact since I own and have operated both for several years in winter snow conditions. Both of these tractors have pulled cars and trucks out of snow banks. Guess which one didn't spin its tires in the process.
The chains on my 1655 are installed once. When they come off (after about 800 hours of service), they're scrap. If you want them to be pretty, paint them when you remove them come spring.
If it's winter traction that you are after, weght comes first, and then chains. My winter rigs always get the tires loaded before they have to deal with even one snowflake, and then my 2wd tractors get chains. The lighter tractors also get wheel weights.
For summer traction, loaded turf tires will usually be all that is needed, unless you play in the mud. Then you need a lugged tire.
All of my tires in drive wheel service have turf type treads. Heavy lugged tires have no bite on hard snow packed streets and driveways, chains do. I don't care how pretty or ugly my traction aids are, so long as they supply traction. I don't want to have to get my tractor pulled out of a snowbank as I did once (in 37 years) when my 4wd with diff lock got stuck.