Sure, but then you change the equation and reasoning behind the need. By increasing the base amount it becomes no longer about the employee earning a minimum wage (who likely already is and many times over the minimum wage via their tips), but about intentionally punishing the employer.

How comes that a fair wage is "intentionally punishing the employer", but paying subminimum wage is not "intentionally punishing the employee"?

Because the employer is not paying a sub-minimum wage—they are guaranteeing the minimum wage and provide the employee to make more than minimum wage. If you force the employer to pay a higher rate as a base, you are forcing them to have a greater expense, which affects the bottom line