May cost actually jobs but ends in a net increase of jobs.

Follow along, you might learn something.

Thought experiment:
Assume that we got rid of min wage, and according to your argument instead of hiring one person at min wage the business could get away at hiring 2 people at half minimum wage (it would never happen in the real world. ITRW a business would just cut wages and keep the employment the same; keeping the resultant increase in efficiency for themselves but whatever) Those two people would be earning much less and could only realistically afford to live in shanty-towns with barely enough money left over to feed themselves, much less add any utility to the greater economy. Hence, the money doesn't move around the economy. Hence, no multiplier; no extra goods bought and sold and importantly no jobs created upstream of the way-less-than-poverty wages.

It might even be argued that wages below a certain level have a negative utility to the economy. The externalities not picked up by the slave-wage employer are passed on to society as a whole contribute to a net-loss of real jobs. Obviously this kind of thing can snowball and pick off previously higher paid jobs as it goes, pushing wages further down as unemployment rises. Creating a real world with haves and have-nots without a buffering middle-class.

Keep believing that the free market fairy will come and magically make things right; leaving goodies under your pillow as you sleep.