Hogwash. Are you sincerely arguing that an hour of work doesn't produce $9-15 (or whatever the minimum wage is, plus other overhead) of revenue for the company they work for?
The only time the market will consume more labor because its cheaper is if the amount of labor they already had was already insufficient, in which case if they really needed more people, they would have already hired them.
If labor were much cheaper, I personally might be willing to hire a maid, a gardener, a masseuse, a cook, etc. Similarly a retail business might hire more cashiers, or have more staff on the floor to answer customers questions and help them find things. A gas station might provide a full service experience for their customers. You could do this analysis for virtually any type of business and given cheaper labor they would hire more people.
Why is this so? Because the demand for labor, like goods, is infinite.