Two wrongs don't make a right. If everyone around you is driving like a maniac you shouldn't try to best them.
There's no "besting". Those were examples in which the ability to accelerate prevented actual accidents.
For the first one it's "blatantly obvious" that you should just stop overtaking if someone is being hostile against you. Even if you have a rally cross situation behind you, the physics works out to be safer if you abort.
Second one is rather confusing, but it would appear that this driver of D having realized intentions of C decided to brute force the situation with speed, making driver of A to solve everything again with even more speed.
This mentality of speeding just ends up amplifying until something gives.