As with all things it would depend on what they did. If the mistake was stabbing a homeless person I certainly would. At the very least losing trust based off of mistakes seems pretty reasonable to me.
And why is the person making amends? Shouldn't that be taken into consideration? If they're only saying sorry to take advantage of you again?
In the prior thread you accused people of being emotional. I don't have personal relationships with people I do business with. I don't do business with people who treat me badly even once unless I have limited options.