Hi Steve,
I don't ride on our icy winter roads here in Eastern Ontario, but by my reckoning, you'd need as much traction as you can get on both the steering wheel and the driving wheel.
Envy you the option of riding over the winter. In the past two decades-plus, we've had more and more icy conditions on roads and paths. Our standard-issue winter-weather pattern is now snow-thaw-freeze, covering maybe a week. When I first came to Ottawa to live nearly 45 years ago (yikes!!), we could reliably expect long-ish spells of clear cold weather, with highs of -15 and lows of -30 or lower. Not any more - can't recall when we last had a nighttime low of -30. The competitive cross-country season has moved further north up the Ottawa. In mid-February a couple of years ago, in the PPE (Pre-Pandemic Era), Canada held its national X-country ski championships in the Gatineau Park across the river, where there are 200-plus kms of trails. It was a disaster: only the handful of international-level elite skiers could handle the ice.
Safe riding, John.