In the larger discussion of payroll taxes, to disprove that workers bear the entire burden of payroll taxes, just go through the thought experiment where we eliminate the employer side of the SS tax and whether wages would rise 6.2%. They wouldn't. Workers were willing to work for $N previously, there is no reason that they would stop working/change jobs unless they were paid $N + 6.2%.

But now do the thought experiment where the employee must explicitly pay the extra 6.2%. Now of course you have to give them a 6.2% raise, because they would demand it to cover their increased costs.

Numbers: I pay the worker $10000 a month. Let's say my tax cost is $500 a month, and their tax cost is $500/mo. So they get a check for $9500, they see a $500 tax deduction, and they net $9000.

My all in cost is $10000.

Now the city says "you don't have to pay your part of the tax anymore, the worker does!"

So now I pay them $10000, they see a deduction of $1000 on their paycheck, and net $9000. My all in cost is still $10000, their net is still $9000. Nothing has changed.

I'm still paying $10000 to have that worker. And if my budget is 100000, I can still only afford 10 workers.