It works this way if you consider a terrible work environment to be negative wage.
For jobs that hover around minimum wage because of low margins labor shortages mean better working conditions.
For example, if you toss a "must be able to piss clean" requirement on any job that doesn't require the employee to have the sunk cost of years of training and it adds about 50% to the effective hourly wage.
Another example would be university wages. Many departments can only afford work-study student workers. When you need work-study student workers with more than just a pulse you have to treat them better because most students would rather work for dining services and do an equally terrible job with free food.
The problem is that at a state/national level there's so much feedback delay, immigration is not evenly distributed, etc, etc that you can't extrapolate