The weight of a tire tends to increase as a wheel diameter increases; sidewalls are much thicker, and bead diameter is larger.
14" and 15" high profile passenger car tires often have very thin sidewalls. It is very easy to mount 60 and 70 series tires onto the wheel, not so easy with 35 and 40 series tires because of the thick sidewalls. Thin, soft, flexible sidewalls provide poor handling during emergency avoidance maneuvers.