For daily driving, outside of some safety advantages, I don’t think it would do much. If anything, it may worsen things, as it can create an artificial sense of confidence. On the other hand, if you could “tune” the amount of damping it does, you could perhaps adapt it to better represent how much grip the tires actually have. Just because a car leans, for example, doesn’t mean it’s losing grip-- though many people will brake, regardless, because it feels unsettling.
Other than the above, I don’t think the forces on the driver prove to be of much hindrance (at least until you get to dedicated race cars).
The only other area I think this may help, is in the high-end luxury market. For example, tech exists which removes the jerking after coming to a stop. In the interest of smoothness, getting rid of some of the physics involved with dynamic movement, falls right in line with this concept. If you’re driving within reasonable speeds, you and your passengers aren’t really concerned with any forces at play, and want to remain detached.