People usually forget that they can also use breakes to get out of tight spot, which is usually safer, and by the way it has even greater acceleration (negative though). By the way high power and high acceleration usually takes you to that tight spot. Isn't?
Sometimes it’s the high power (way higher than acceleration as you correctly point out) of
other people’s braking that gets you into a tight spot.
In any case in some situations it’s good to have the flexibility of both options, not just the braking option.
Once we get rid of human drivers in all cars then the first part won’t be needed anymore. When that day comes, we will be safer but we will miss the fun acceleration of these days.