I generally agree with this, but I think it is often overstated. There are still many domains of employment where there is room to raise the minimum wage significantly before getting anywhere near the margin at which the employer feels it's not worthwhile to hire the additional worker. Food service, for example. There are examples on the other end of the spectrum too, such as cashiers in a major convenience store chain, like CVS or Walgreens. These businesses are more capable of scaling automated cashier technology than others, so workers of this type would be disproportionately affected.

But overall, many types of business have an inefficient profit surplus right now that should rightfully be eaten into by workers claiming more share as wage.

I also think there is a genuine moral argument to be made that society, in some cases, should intervene when a person believes they are willing to sell their labor at an unsustainably low price. It's not quite right to characterize a minimum wage as "denying" them that "opportunity" as much as it is saying that the "opportunity" itself is unhealthy, unrealistic, and a person's reasons for choosing it almost always involve forms of coercion that cannot be dealt with as effectively if the person gets locked into believing they actually must provide their labor so cheaply.

Incidentally, this is perhaps the most common thing I hear about the minimum wage (that it hurts employment due to marginal employment reduction on behalf of employers). A lot of people seem to think it's counter-intuitive and that it somehow shines real economic theory on everyone's pie-in-the-sky dreams of egalitarian wages or something. But really that's not true, this argument is extremely common and is brought up in almost every forum or discussion about minimum wage, whether it's just a bunch of nonsense troll comments on a YouTube video or in a place with a higher signal-to-noise like HN.

It always makes me do a double take because I don't want to end up regurgitating what is effectively "sponsored content" from wealthy libertarian types who spam out this message to ensure it trickles down to all the conversations about minimum wage. Like I said, I mostly agree with this, but with some reservations.