You've just mentioned activities an employer (or government) does.
Market doesn't do any of these. Prices or wages do not set themselves "because market wills it". They are set because people will not accept a different outcome. If the employer is stubborn and there are few other options, nobody can really drive the wages up.
Taking anot market is like talking about evolution. It is not even a force, just a label for emergent behavior.
So the market is as free as people are, and the main damper are actually mobility and debt.
People who cannot move are limited to local market which can have a very different equilibrium. People who are in debt are forced to take immediately available offers.
And finally, a typical person cannot outwit or outwait a corporation, much less government.
Information asymmetry and availability of various instruments of pressure is vastly different.
By the way, corporate law and setting wages is also use of force. You do not get to really negotiate any of it from equal position. Likewise you are very limited in negotiating credit.
The difference is, law is at least slightly transparent and corporate law is not.
Protectionism isn't free market, either.