> If you don't believe me then post a help wanted ad with a >$50 hourly wage for unskilled work and watch the applications roll in.
This proves nothing. For example, if a >$50 hourly wage is well above market rate, it may lead currently-employed people to apply. If they leave their current job to take your offer, then you've just shifted the job vacancy from one employer to another. This is clearly not evidence that a labor shortage does or does not exist.