You're ignoring the increasing costs the business will also incur by continuing to refuse to pay. Again, for large businesses, it may be possible for them to absorb this additional load with no issue. For quite a few small and medium businesses, this extra load can't be easily absorbed.
Keep in mind you don't have to actually have any intent of suing them when you show up. You can treat it like a poker bluff. It creates the impression you might go all the way, and that's often enough to change the business' perception of the costs and risks.
Keep in mind you don't have to actually have any intent of suing them when you show up. You can treat it like a poker bluff. It creates the impression you might go all the way, and that's often enough to change the business' perception of the costs and risks.