It might solve the complaints motorists have, but then you'd have the complaints of pedestrians to deal with. In two major cities in my country, bike lanes have been added to the pavements as a bright red stripe on the side of the pavement closest to the road. Local pedestrians shouldn't walk on that portion of the pavement, but they still do, and if you ring your bell or shout for them to give way, they either ignore you or yell at you. It’s actually much faster to simply cycle on the road with the cars.