I no longer live in a cold climate. But I grew up in suburban Chicago - so I know from cold, slush and salt.
Those zip up overshoes make complete sense to me. Those silly 'swims' that everyone around here seems to love might be good for a drizzle - but for 'normal' winter conditions including salt and grimy slush they are useless.
Rubber zip up overshoes are great - good protection - easy on and off - stretchy rubber fits over all sorts of shoe shapes. No insulation is about the only drawback. I used to pull heavy wool socks OVER my dress shoes before putting on boots - protected the shoes from scuffing and provided extra insulation.