It's funny you should say that, as my recent result suggests there's more going on behind the scenes than we might not know about.
I had another stab at the Huge, French, Regent with the following criteria:
Raging Barbs, Archipelago 80%, Normal, Temperate, 3 Billion Years, Default Rules, Normal AI Aggression with the following eleven civs: Aztec, India, Japan, America, Arabia, Rome, England, Carthage, Iroquois, Greece, Korea.
This time, after a few laughable starts I immediately rejected, it spawned me next to a lake with three cows and two bonus grasslands and only one move to the coast. I'm not going to reject that.
The first try was fantastic, I was absolutely steaming along, I didn't even bother going for Code of Laws, just stayed in Despotism the whole time and took Monarchy after Philosophy (and still didn't revolt). I got nearly all of the Wonders with consummate ease, just the last leg to go: Iron Working, Mathematics and Construction for the final one, The Great Wall. With just 13 turns left to complete The Great Wall I got a message telling me that the Carthaginians had completed The Great Wall. Waaaat. This was in 250AD, which seems remarkably early for an AI to get TGW.
So I had a second try from my 4000BC save and this time did the usual route of one first tier tech them going straight for Writing through to Republic, only completing the Colossus on the way. I completed the Pyramids shortly after revolting to a Republic, which triggers the Golden Age for the French and I picked up the Oracle really easily. I then got an SGL for Polytheism and grabbed the Temple of Artemis instantly(although I don't think I really needed it?). I then proceeded to grab all the other Wonders, again with consummate ease before doing a run for Construction.
… But what of The Great Wall, by the time I'd got to Construction I was already thinking I'd lose it again, there really wasn't that big a difference in date to the previous method. But no message came and I constructed TGW in 360AD. Oh wow, I finally did it with the French, so just The Great Library to get for a final date of 590AD.
Which got me thinking...
Does the AI target Wonders in the early eras?? In the first game I grabbed all the Religious Wonders so incredibly early that perhaps that triggered the Carthaginians to then abandon that tree very early and completely beeline Construction whereas in the second game I came to those Religious Wonders much later...
Or perhaps it's something else entirely. Maybe the Carths were not at war in one game but were in another. Lots of different possibilities, but the upshot is that just because the AI appear rubbish in one run through, it doesn't mean that they will be if you tried to repeat the process on the same map. Is it luck? Or does going for Republic also have yet another hidden benefit that we were all unaware of?
Because, by date, the first, non-Republic, example was actually more efficient.
Edit: I had zero contact with any other civs and chose to learn all my own techs for these two runs, so tech trading via me didn't influence anything.