No it's not.
Yes, it is, see below.
Without your employer you wouldn't be paying any taxes, and your employer gets all their money they pay you and all the money for your taxes come from your employers consumers.
You are an expense (and in most cases primarily a tax on 2 feet) that your employer has to pay for with money they get from their consumers.
In your business analogy, I am a business selling my labor to my employer the way 7-11 sells Slurpees. But what he does with that labor in service to our clients/customers/consumers, and what money he collects for that, is irrelevant to that relationship. I do pay taxes on my income, just like 7-11 pays taxes on its income (as distinct from the sales tax and property tax it also pays), there is no relevant distinction.
Unless you work for the government you exist in a consumer based economy.
And if you work for the government you still do. You're an employee, or in the terms above stated a business, and the government has consumers.
