I intend to write my state congresspeople soon, because I have an idea for a new law. I thought of it because I remembered a piece of advice I heard a lot when I was learning to drive: if you get in an accident, no matter what happened, do not, under any circumstances, apologize. You have to act like it's not your fault, because saying "I'm sorry" can constitute an admission of guilt.
Same if you get pulled over. Don't say "Sorry, officer," because they'll use that against you.
But saying "Sorry" is an important social function. Often, it's the difference between a horrible experience with another human being, and a terrible event mitigated by the compassion and humanity of the people involved.
And you don't even have to mean "I feel personally responsible for the thing that just happened here." "Sorry" can mean "I feel bad that this happened, and want you to know I care about your experience." It can mean "I know I played a role in what happened here, and I'm sorry for that part." It can mean "I'm sorry that this interaction is going to inconvenience you" or "I'm sorry that you're in pain" or "I'm sorry that I left the house today" or "I don't feel responsible or guilty about this at all, but I know this experience will be less shitty if we're nice to each other."
The law, in this case, or at least good legal sense, requires us to not be nice to each other. And, since this is something wrong with the law, the obvious solution is to pass a new law.
So, I intend to propose a politeness bill: a bill that says, in the state of New Hampshire, a person's having apologized for something does not constitute an admission of guilt for the purposes of a lawsuit.