Earlier quoted context omitted.
Actually apologizing admits to wrongdoing, which opens one up to liability and other consequences. Not apologizing at all is seen as callous and only incites the mob against you. A non-apology apology is still enough to settle the mob but not enough to open one up to liability. The only downside is that it upsets intelligent people like you and I who are capable of actually parsing and understanding these kinds of st…
IANAL, but in various contexts, apologies actually work to defuse the situation and prevent legal action. I've read research into malpractice and product negligence that indicates that sincere apologies actually reduce lawsuits, because, in many cases, the lawsuits are sparked not by the initial negligent act, but rather by stone-walling. I can't find those references tonight, alas. But there is this research into pr…
This is, incidentally, also the rationale behind never talking to the police: unlike aggrieved customers, police more or less are professional assholes. It's not their fault per se, and it's not a slur on police officers, but even more than lawyers, police are more or less constrained by the adversarial nature of the criminal justice system to be total assholes almost all the time. Actually, this asshole theory seems to explain a lot about the legal system, for instance why divorcing couples seem to be total assholes to each other as soon as they both lawyer up.
Your point is that most people aren't assholes, and can be reasoned with. Fair enough! But there are assholes, and eventually you get bit by them, which is how big companies develop lawyerly antibodies to them. As for politicians, they're all lawyers already, and it's practically their job to be assholes to each other, and if they slip up there are plenty of assholes in the press to make up for it so appealing to the people's better nature is automatically more difficult.