Really important for you to understand: Not likely to kill you is not the same as not dangerous. So many people end up in low speed collisions which, while having an infinitesimal chance of death, cause them non-lethal pain, stress, financial harm, legal trouble. These are dangers. The existence of death does not negate the suffering which does not cause death.
And that is absolutely not analogous. The inattentive driver isn't analogous to someone coming in one minute late, and the other driver is not analogous to the doctor. He's doing an analog of coming in half an hour late, when the doctor has already made the reasonable assumption he is not coming, (He's already at the intersection by the time he's trying to make the lane change.) and started seeing the next patient. (The other patient is the other driver, following the expected rules of courtesy and appointment keeping.) He is then making an invasive entry into the doctor's exam room (analog to the space they each want to use, the turn lane) and expecting to be seen ahead of the person who was on time for their appointment. (cutting in on the mutually desired space without regard to anyone else) He was inattentive and failed to arrive on time. (He failed to get into the correct lane at an appropriate time) The only reason a person would let him barge in is out of fear he might be even more dumb, aggressive, and inconsiderate than he already appears and hurt them, whether through selfish ignorance or active malice.