Yes because the problem is that minimum wage hasn't kept pace with inflation, especially in large cities, where the cost of living has skyrocketed. The majority of the consumers who are purchasing the goods and services offered by these workers have had their wages keep pace with inflation (or closer to it, than that of the min wage workers), so they can continue to afford the goods and services offered at the higher prices required for the employers to pay the increased wages.
There is another problem that needs to be addressed, though... The middle class is the biggest consumer of these goods and services, and while they can continue to afford them at higher prices, they are also getting unfairly squeezed. More focus needs to be on increasing the net wages of both lower and middle class Americans by making the upper class pay their fair share of the hefty tax bill. By reducing the effective tax rate in the middle class, you will see increased spending.