Not exactly. If the market-clearing price for low-skill labor is already above the minimum wage, it will have no effect. If the market price is far below the minimum wage, it will have a large effect - positive for the workers with jobs, negative for the ones who are priced out or have their hours cut.
I hate when people use this metaphor. Not because it's inaccurate to say that speech can cause imminent harm in some circumstances. But because its origin was a Supreme Court opinion that argued against the right to speak out against the draft in WW1, which I don't think too many people using this analogy today would agree with. Also, this legal argument has been rejected since then.
Point is, this exact argument could be (and has been) used to justify some pretty bad ideas.
uch... what a headache when a user needs to change their email. The mania for "schema-less" KV stores is so puzzling to me. It just takes all the stuff that used to be handled natively and seamlessly by the DB engine and forces you to reimplement it in code, only with more bugs, less efficiency, and less flexibility. I fought this battle on my current team and lost, and we have been paying a steep price ever since.
LGBT being a protected class or not was not at issue in the cake shop decision, since they were not denied service in general (they had been regular customers of that shop, and were always served). The issue was whether designing a custom cake for their wedding was considered artistic expression, and as such he had a right to refuse under the 1st amendment since you cannot compel speech.