Pro-market: pro-market advocates for policies that enhance competition and market efficiency. Understands that god markets are made. Pro-market advocates believe in creating conditions where businesses can compete fairly without undue advantages from government favoritism. Government regulation can be essential to correct market failures and promote a level playing field.
Free market: and ideological stance where markets are without government intervention. Belief in ideal world where market failures don't exist and if they exists that's a good thing.