For snow and ice traction on tractors, it is the same principles as you want for the tires on the vehicle that you drive on the roads in the winter. Compound matters, but you especially need biting edges for the tire to grip the road surface, lots of biting edges. That is why winter tires such as Bridgestone Blizzaks are heavily siped.
Each of those sipes creates a biting edge to help gain some traction, and they work.
R4's are poor on snow & ice because the lack enough biting egdes, just large flat smooth surfaces. The large flat surfaces, besides lacking much in regards to biting edges also create an area where a microscopic layer of water forms between the tire and the snow/ice acting as a lubricant actually decreasing traction. This is probably a poor explanation. A better demonstration is to take a test drive in a vehicle with bald tires on an icy road in 30 degree temperatures then repeat in a vehicle with Blizzaks. The only thing that helps an R4 on snow and ice is weight, which is something a compact tractor typically does not have a lot of.
It helps to groove R4's, but you can only add so much.
R14's are a hybrid which do add to the biting edge area of an R4 somewhat.
Another option for even better snow & ice traction, if you do not mind giving up some mud traction, is to use turf tires. Still not a Blizzak, but lots more biting edges than even an R14.
I have been clearing my two driveways for over 30 years, and my neighbor's driveway for most of that time. The neighbor's driveway is a steep long uphill push, and I have never not been able to get up. I started with a New Holland 1520 with a 5’ front blower & 6' rear blade. Firestone turf tires, no chains, no loaded tires. Recently started using the same front blower & rear blade on my T1520, which has Titan turf tires and the rears are loaded. Still no chains. Works even better. I wish Bridgestone would make Blizzaks to fit my tractor(s), but in the meantime (not holding my breath), I will stick with turf tires for winter traction. I do not get into wet mud, so turf's work fine for me overall.
I've never needed to use chains so I do not know what they would do to my paved (both concrete & asphalt) driveways. I do know what snowmobile track studs do to my driveways so there is no way I am going to put studs in a tractor tire. You can try to not spin, but you are going to spin.