Depends on whether you consider youth workers to be a “less desirable employee” - but there does seem to be empirical evidence that higher minimum wages leads to greater youth unemployment, though youth employment in general had declined significantly over the past 30 years and much of it does not seem to be related to US federal minimum wage (there was a pretty steady decline in youth employment over 1999-2003 without any changes in federal minimum wage, not sure if any state minimum wages increased over that period though). In addition, the latter page indicates youth with disabilities have disproportionately higher unemployment when youth unemployment goes up.
It’s debatable whether youth employment in general is desirable (personally, I think working is a valuable experience for many young people and enables them to gain some amount of financial independence), but I think youth employment rates and living wages are at odds. Youth workers generally don’t need a living wage (since most live with their parents), so if minimum wages are raised to living wage levels, it is highly likely that any reduction in jobs will likely come at the cost of youth workers, given that a) they are less experienced, thus likely less skilled than older workers; b) they don’t need to make a wage to survive, thus might have less intrinsic motivation to work, and employers would feel less bad about letting them go.
This is why I’m more supportive of robust welfare/low income support programs (or potentially a universal basic income in the future) rather than higher minimum wages. A common refrain that is repeated on Reddit among other places is “if you can’t afford to pay your workers a living wage, you don’t deserve to be in business”. I disagree with this sentiment - I think it’s society’s responsibility that everyone can live a life of dignity (regardless of whether they are able to work or not), as opposed to just the responsibility of employers. In addition, it seems like small businesses suffer more than large businesses with minimum wage increases, so one of my biggest concerns with raising minimum wages is that it will lead to a corporatocracy where big businesses will leverage their greater access to capital to do things like invest in automation to offset higher labour costs, while small businesses will increasingly go under. I’m sure new small businesses will pop up adapted to a higher labour cost model, but I am worried that larger businesses intrinsically are better able to manage their businesses with less people, and small businesses will intrinsically have to cater to wealthier people (eg. small business retailers can’t compete with the likes of Amazon and Walmart on price; thus they have to try to compete on some other basis like quality of products - but that for sure means that poorer people will have no choice but to shop at Amazon and Walmart). Of course, this might happen anyway regardless of what the minimum wage is, but I think higher minimum wages generally tilt the field towards larger businesses than smaller ones.