I have never lived anywhere where there are employer-paid taxes on employee pay. Have you? Do you even know of a country like that?

The United States has federal payroll taxes of which half are paid by the employer.

Social Security and Medicare (FICA) is not exactly a tax, if that is what you are talking about. There is FUTA (Federal Unemployment Tax) paid by employers, but this is quite low, certainly not a significant portion of tax revenue.

The IRS calls it a tax. In what sense is it not exactly a tax? It’s a mandatory payment to the government. It functions like a tax and it’s called a tax.