I think that requires losing some of Capitalism’s ideological tent poles. Like free trade. You obviously can’t have free trade while the British and Dutch East Indies Companies are having a state sanctioned war over who gets the rum plantations.

If you want to rely on profit seeking and markets then you can say Capitalism goes all the way back to ancient times.

I do agree that looking at it’s birth is enough to disqualify it, but that birth is in the mid Industrial Revolution, not the Renaissance.