I have a personal opinion on this, which is not scientific, but then again for such a huge question I’m not sure science
can give us a very useful answer anyway.
After visiting Pompeii and a number of other ruins in the area, I sense they were close. You can see it in their highly organized society, advanced construction techniques, complex economy, and vast amounts of labor at their disposal. This was an incredibly advanced society. They where clearly riding some S-curves. If the party had lasted a little while longer, a century, 3 centuries, it seems very possible they could have lit the great spark a thousand years early. We can never know, but I absolutely sense that this was an accident of history and it could have gone another way.