I started my working life working for a county council, and there were always problems keeping roads clear, specially when some thing went wrong with a gritter, so road treated for 5 miles then last mile no treatment.
I know my father-in-law who had lived in Canada said better if the snow left on the roads, then one can use snow chains, however we never get enough snow to be able to travel a whole run with snow chains, and this is the problem, if all roads are snow covered you can use special tyres or chains, but not just for ice, or when some roads cleared and others not.
We when I worked for the county had a snow blower for the pavements in Mold town, rarely used, but we had one, but pedestrian controlled snow clearance is dangerous, we lost one guy who fell into the tractor mounted snow blower, it stalled not like the James Bond film, but still killed him, and the blower was altered so it could be controlled from the tractors cab.
I well remember driving a TK Bedford gritter/plough and doing a 360, lucky did not hit anything, but maximum speed with a plough down was 22 MPH, over that speed, if you hit snow, it ended up obscuring ones view as it ended up on the windscreen. At these speeds clearing is slow, but most other council duties were suspended due to the snow, and many farmers were also paid to help with clearance. But as the council started to use contractors for traditional council jobs, the labour pool shrunk, and so they were unable to respond as they did.
Yes there were no drivers hours for snow clearance, but that does not really help, there is a limit to how long anyone can work.