Comment by KPGv2
This is an overly simplistic view of what "free market" means in practice. The most obvious issue is that, in a free market economy, government protects private property, ensuring that any capitalistic definition of "free market" does, in fact, require government intervention into the expression of supply and demand.
And now that we've established that capitalism necessitates government intervention, capitalism is incompatible with such a simple definition of "free market." We can begin negotiating just how much government interference in the market is allowed before it's no longer a free market, but it's categorically impossible for a capitalistic free market to be pure expression of supply and demand.