Look at it this way, assume Tim Hortons thought they needed to pay $14 per hour to attract the type of help they needed. Previously if the minimum wage was $12, they could either pay $14 per hour, or add $2 an hour in benefits. If they were paying $12 + $2 in benefits, and the minimum wage goes to $14, they aren't going to raise their labor costs to $16 per hour, they don't need to in order to attract the types of employees they need.
Minimum wage benefits are also focused on those who need them the least. It causes companies to reduce hiring and jobs, and to invest more in automation. Those who lose jobs because of it are much more likely to be of color, in poverty, and single parents. Those who keep their jobs are much more likely to be middle class, more highly educated, or students still being supported by their parents.
Instead of a minimum wage, we should have government programs provide benefits to the working poor and single parents earning less than living wages. Without giving a dime to yuppie kids and yuppie spouses. That would make the job market far more robust and open, easier for everyone to find work, while doing far more to help the people we should be trying to help, all at a much lower overall cost.