I have actually been in situations where swerving around an obstacle that appeared suddenly was the best option more than once. If I had hit the brakes, someone could have been seriously hurt (not just talking about making metal and plastic trash out of a car) - sometimes that someone being me, by being squished by something much larger, heavier and better built than my car's tiny crumple zone. Think huge - probably full of heavy stuff too - truck trailer coming at me with its broad side. If I had hit the brakes instead of speeding around it, I would not be writing this.
In such a situation you do not have time to think about a button you have to press to disable some "please adhere to the speed limit" software. You ideally want to be in an automatic transmission car where you can just floor the pedal and it makes a jump, unless you're a able to shift down quickly like a race car driver and floor it. I guess my point is that these system really do need to take into account the worst case you can imagine and make that worst case safe.
I do disagree with your justifications though. To start with for indicators it is true that sometimes they aren't necessary, in fact with everyone driving appropriately they shouldn't ever be needed to avoid crashes. However people are pretty bad at judging their abilities and habits are a pretty strong effect. So sometimes you mess up your observations but then if you indicate anyway the other road users are more able to fix your mistake. Also by indicating every time you build the habit and are much less likely to forget to indicate when you should.
It is fun trying to come up with situations where speeding up to avoid a collision is needed but in practice this is really dangerous. If you brake to avoid a collision then if the avoidance fails the result is less bad. Any cases where braking isn't going to let you avoid a collision must be situations where you have very little time to react since cars can change speed more rapidly by braking (limited by traction in any vaguely modern car). So the situations where you need to speed to avoid a collision are ones with very little time to process, where you have one known bad road user (since otherwise you wouldn't be at risk of a collision). Bad road users are unpredictable. All these factors make it really dangerous to accelerate into a hazardous situation. Instead you should train yourself to drive defensively and react to road dangers by braking as a first response. Again it is best to build a habit since you have very little time to evaluate and react to these situations.
I agree with you about the shoddy drivers, I don't drive a large amount so I'm aware that my driving skills aren't super high. Because of this I consciously drive defensively, don't drive fast to give more reaction time, leave a larger gap to other vehicles. Having lots of shoddy drivers is a great reason to have speed limiting technology because most of them overestimate their skill and speed. In the UK a large majority of drivers regularly speed and this has a pretty direct link to increased injuries and deaths.