I'm not that enthusiastic about renaming York Region's portion of Highway 7 Queen Street. There's no historical tie to that name. Until 1974, Queen Street in Brampton was only between Chinguacousy Road and Highway 410. It gradually assumed the name across the entire stretch from Mississauga Road to Highway 50. A better choice might be Welington Street then, as that was the name of Highway 7 in the former Village of Markham (but there's a Wellington in Aurora, and it's not best practice to use the same name for a major road in the same regional municipality.)
But then about about Eglinton and Kennedy? Steeles and Kennedy? Or the right corner of say Birchmount and Danforth? People deal with it. People have figured out there's two, very different, Route 501 Queens in the GTA.