Have you ever been behind a car with a driver that has one foot on the brakes and the other on the gas. It seems to resemble the effect you are looking for and incredibly distracting and annoying. When brake lights go on you expect them to be making a stop or rapid deceleration so you do the same as well as the people behind you and all of the sudden you are speeding up, slowing down, back and forth. It's becomes a terrible way to drive. The reason we have 2 eyes is to be able to judge these things and it works fine if you aren't driving distracted.
Some EVs and hybrids have a 'one foot driving' mode where if you take your foot off the gas, it does start to actively brake and you will eventually come to a complete stop. Technology Connections did a video on it a little while back, showing how it can be bad if the brake lights aren't programmed to come on in this situation.