I have not heard this particular argument anywhere.
I think if you raise the minimum wage to $15 per hour, which is so much higher than where it currently is, you will cause the following problem.
Minimum wage has been set and is normally targeted for the people who are just starting in the workforce or who have little or no experience. I think if you raise the minimum wage to $15 per hour, the employers will then hire more qualified individuals than they currently do. If the employers are forced to pay so much higher than they currently do, why would they not seek to hire more qualified individuals? I think they will. This, instead of helping those who need the money in those jobs, will actually hurt them. When the employers begin to hire the more qualified individuals for the higher-priced minimum-wage jobs, employees that are currently making minimum-wage, that are new in the workforce, or have little experience, will simply be out of a job.
I wish everyone made enough money to easily support themselves and their family without worry.