The only relevant issue in the debate about a government mandated minimum wage is: Does it reduce employment opportunities? The debate is not whether some workers will be better off after legal minimums are increased; some workers will. The debate is not whether “consumption” may increase when some workers are paid higher wages; it may, although unemployed workers will consume less. And the debate is not whether “rich” employers can afford to pay higher wages; some surely can, but whether they should be forced to do so by law is another matter entirely.
.. Raising the price of anything, while holding other variables constant, always reduces consumption somewhat. With income fixed and substitutes available, private employers use marginally fewer workers when their wages are increased by law. Simply exaggerating the wage increase will make the point obvious: If we double the minimum wage and leave productivity unchanged, is there anyone on the planet who believes that employment would not dramatically decline?
Everyone at some point needs an entry-level job and a chance to climb an employment ladder to higher pay. There is no moral or economic reason why government should discriminate against such jobs or eliminate the first few steps of that ladder.