You’ve left out the part where apologizing (i.e. appeasing) the mob rewards them with a “win”, reinforcing their behavior.

As a father of a small child, I’ve learned that it’s important not to confer extra attention for acting out, otherwise I am effectively encouraging that behavior. I’ve heard this described as “don’t water weeds”.

The modern mob is nothing more than the collective Id of so many sad, child-like human beings. Don't give in just because it’s easier in the short term. Don’t water the weeds.