if you go with the definition that a free market must be devoid of influence
No, in fat i specifically made it clear this is NOT what a free-market is. A free market is a market in which healthy supply-demand pressures dominate. That is similar but not the same as saying devoid of influence. In order to have a free market you must
1) have laws that prevent monopolies from controlling the market and manipulating prices contrary to supply demand
2) Ensure all parties have equal access and representation on the market (aka no slavery)
3) Minimal regulations beyond ensuring the above from the government.
4) no price fixing