If there is no minimum wage, employers set low wage - nobody want to work with low wage, so employers will replace with automation.
Not just minimum wage caused unemployment, there are other things that cause unemployment, especially popularity of online, automation, low sales, increase of efficient that require fewer workers to operate and other reasons.
I think employers love to replace everything with automation, regardless on minimum wage to maximizing the profit.
Ban on automation is better solution? I don't know.