This would be my preference also. I put snow tires on both mine and the wife's car every winter, so it's absolutely no issue for either of us to break trail and march up the hill to the road in 4-6" of new snow. But then an amazon van comes down the drive, or grandma picks up my kiddos from school, or a stranger is lost... and they get stuck fast.
But even more than that - if I leave too much snow on the driveway, it eventually compacts into an ice sheet up here in colder Michigan. Like, a literal 2-3" thick sheet of glare ice. Again our snow tires can pretty easily drive uphill on it still, but it's deadly for anyone venturing down on all-season tires.
I'm probably going to start keeping a sand/gravel mix pile under a tarp or crude roof, so that it can stay dry and still be scoop-able in late winter.