Will we develop practices that preserve what we like about free markets without capitalism being the economic function?
No. Humans will be extinct long before we can overcome our greed and fear. We live in a world of abundance and the only thing holding us back is the concentration of power and wealth.
No we don't live in a world of abundance. This is a common tagline touted by communist and socialist societies, and has been proven false time and time and time again.
That's where regulation comes in. For example we have outlawed practices like killing others for profit and the markets still work. We can outlaw other things too. Markets will adapt. That's what they do best.
Markets != capitalism, markets predate capitalism, and the end of capitalism does not necessarily mean the end of markets.