You do have a point, especially in your first paragraph, but I think it's important to separate the goals of the business from the goals of it's founders, management and employees. The latter probably have goals of at least making a decent living, and that of course impacts the profit-making goal of the business.

However, I also think you're confusing profits with wages. Non-profit organization employees can have quite high wages, but that doesn't impact whether the goal of the organization is to turn a profit.