I've found that dealing with certain situations/people is not worth any price that a person might pay.
There are people who are just unbelievably unreasonable, mistrusting, and impossible to satisfy. These types can take you off course, reduce morale, harm your reputation, and generally almost "break" your company. As a small boot-strapped, but profitable company, I would rather expend our efforts on finding and supporting good lower-paying customers who are happy with our service and with whom there is a mutually beneficial relationship.
As they say, "money isn't everything", but even to the extent that one focuses solely on money, it's not always more profitable longer-term, even with a customer who's willing to pay an outsized price.