Which was obviously true for serfs in the middle ages, as well, huh?
Do we live in the middle ages? Is it relevant? No.
Perhaps you're rather intentionally overlooking the power differentials involved in modern corporate employment. Most Americans aren't Rich- they can't live off their investments, so they have to work. For the vast majority, that means working for somebody else, simply because they have no capital. In that, employers call the tune, particularly when un and under employment are rampant.
You're completely ignoring competition among employers for talent. 95% of people get paid more than min wage anyway, because employers have to compete for the talent pool. If that wasn't the case, why not just pay min wage to all? Because of supply and demand.
Regardless, that has nothing to do with the loony idea in the OP. The "burden" posed by the employee is not the result of the employers actions, it is the result of a bunch of other things. Is it the employers fault if an employee has 5 kids to raise and can't make enough to do so, and thus ends up getting assistance? It's sheer stupidity, you'd just end up punishing employers in industries that tend to have lower wages, which would result in ... you guessed it, fewer jobs and an even bigger burden on society.