Some cars like the Mini Cooper S do lift a rear wheel when turning sharply under braking -- I've seen this a lot in autocross racing. I normally only see front engine/FWD cars with limited suspension travel do it though. Trikes are less stable & will lift a wheel more easily overall.

The principle is the same, the distinction has more to do with suspension (or lack thereof) and the solid rear axle. The same strategy of lifting the inside rear tire is used in competitive go-kart racing: https://youtu.be/cMAtgPX6st8?t=312 . If the carts had a differential then it would be a different story (and they would be cars and not karts according to the SuperFastMatt taxonomy)

They do. Volkswagens from the 80s and 90s that have solid dead rear axles "tripod" around corners.

Automobiles have 4 wheels. The geometry of the situation is very different. This is also why cars have differentials, because otherwise the car would be fighting against the turn.

Basically when you turn your trike turns into a bike.