There are problems with increasing (or even having) the minimum wage generally, and with increasing it now specifically. Some of the problems have already been mentioned, but I’ll recap, if only not to waste a post on which I worked a long time.
Generally, the very same businesses that pay minimum wage are those with the lowest profit margins (restaurants, distributors, farms and the like), making them least able to withstand an increase while remaining profitable. If you increase hourly wage costs, those businesses with high costs relative to their peers will often close, reducing in total employment.
Another reaction to minimum wage increases is to increase productivity by replacing labor with capital (automating). As it happens, this is in the long run a good thing, but it also has the effect of reducing in the short term total employment.
Another way businesses deal with a minimum wage increase is to focus only on hiring those workers with the highest productivity (as opposed to increasing overall labor productivity). I’ll explain. Businesses do not seek to pay the lowest wage possible, but rather the lowest wage possible per unit of work completed. If the minimum wage is too high for businesses profitably to hire low-productivity workers, in some instances they are able to pay more than the minimum and engage higher-productivity workers, (for example, a counter person who can handle 40 customers/hour rather than the 25 or so that a low-productivity worker may be able to) further widening the gap between high and low productivity workers. There are some who say this is not a bad thing in the long run, but it produces short-run externalities such as increasing despair, higher crime, increasing gaps between the poor and middle classes, increased unemployment among the young (especially teens) and the like.
Specifically, the problem with increasing it now is that the labor market is tight. The wages for almost all productive activities should be going up without the insistence of the State. And in most cases, they are (I interviewed a food distributor recently who actually installed metal detectors at his company’s distribution centers because of the high number of recent ex-cons they hired to deal with labor shortages, despite raising wages 10%.)
If you believe in a minimum wage (I do), the two times to increase it with minimal disruption to the economy are when inflation is high (wages are going up anyway, and dragging the bottom of the labor pool along is least invasive then) and in the quarter or two following the end of a recession (when hiring needs have not yet caught up with the labor pool). Now represents neither of those times.
The stat the OP heard about people “cycling through” minimum wage jobs is partially true. I’ll look for a harder stat.
Jesus saves… Gretzky grabs the rebound… He Scores!