All capitalism is is any system which includes free market trade
That’s just incorrect. Capitalism is about the model of ownership, not markets, being able to privately own means of production to be precise. You could have a system in which the only allowed form of ownership of means of production would essentially be a worker cooperative, but these cooperatives sell stuff within a market economy. This would be a form of market socialism, not capitalism.
Just to be clear, I’m not a market socialist myself. Nor do I agree with the premise of this thread, but I’m not in the mood of arguing about that, just correcting a common misconception. Especially since it’s an especially pervasive part of capitalist propaganda – you don’t actually need coercion to have markets, while you need coercion to enforce private ownership, so associating capitalism with the former makes it seem freer than it is.