By your logic the Jomon culture imported the knowledge of ceramics from Moravia because the Venus of Dolní Věstonice predates the Jomon culture. I'm not quite sure this is how it works.

> they could not possibly have ever made or even tasted pasta sauce, as Christopher Columbus hadn't yet been born when the last Roman died, nor could he have invented the tomato before 1492

You seem to have a penchant for continuously shifting goalposts. What does sauce to have with this?