What you're saying is true, but in my book, a market is not free because of the lack of regulations.

Free markets are not stable things, and without regulation, they fail. Regulation keeps markets free. My definition of a free market is the econ 101 one, which is many competing companies, who all are individually unable to affect market prices. Not the weird ancap one, where we throw the reins in between the horses and let companies consolidate into a fascist dictatorship.