Your article is from 2019: it is not relevant to the situation restaurants are facing now. The remaining restaurants which have survived the pandemic-crash up to this point are still hurting badly. I'm not sure how you can write off the impact on restaurant industries being "minimal," especially when they (a. employ a notable percent of the American workforce, and (b. are dependent of disposable incomes (i.e. a well-employed society) to survive.
Any theoretical benefit from more Americans having more money to spend once the $15 wage comes into effect is a moot point if unemployment remains widespread, and as I said, raising the wage on already burdened industries doesn't help Americans regain unemployment. A forced wage increase in the midst of a severe economic downturn will kneecap any recovery effort as more Americans become unemployed without even low-level restaurant work to provide them at least some means of living and an opportunity to rise up some kind of career hierarchy towards better pay. I also don't trust our government to be competent and kind-hearted enough to bother tracking businesses which retain workers in order to bestow tax credits.
Furthermore, I'm not actually convinced that $15 is the acceptable standard, especially when it comes to employment. The minimum wage of European countries like France (10.15 EUR, or $12.06 USD) is frequently used by American wage advocates as a model to aim towards. Now let's look at youth unemployment in those countries, since young people are the people that (A. tend to most likely be working low-wage jobs, and (B. are in most need of work experience to get their careers started.
In 2019, US youth unemployment was at
9.1% according to the US Bureau of Labor Statistics in July of that year. In France, with its higher minimum wage, it was at
19.5%, over twice as much, in 2019.
There may be a lot of different factors surrounding it, such as cultural and other economic aspects (for example, American youths have to pay much more for college than their French counterparts do and many American young people work to at least defray tuition costs). However, I do think that minimum wage does play a part in it, in that it does price workers with few skills and little experience out of work, which then in-turn hurts their career prospects later because they can't get started.