Exactly! Except I can do it in fewer years.
I can hear you snickering Purge, kinds sounds like Mutley from Wacky Racers
Jokes aside, would the average time be around 7 years? Not including the upper echelon of players, like the two geniuses above

who can destroy the AI at will, most games (gig, abundant all) seem to take around this long. Me, i can do 9 civs gig, abundant all on painful (my highest victory level, shame it was not an MV game) in 9 years, and like Wyndstar said, luck was not a factor, just my level of play.
Never did the AI have the "upper hand", nor did they in the majority of Purges' and Wyndstar's games, i assume. So you see LostHero you are quite off the mark, you experiences do not represent everyone else's. The AI will be advantaged but will not have the "upper hand" as a default.
(thinking) Now if i can just steal Purge's last 5 scores and add them to my own.....
I've been accused of sounding like Mutley in written conversations before!

I've been fiddling with a "zero to hero" strategy (at least that's what I call it in my mind). I've been running with no military ships a good 9-12 months past the time frame when the AI builds it's first one. The AI thinks it winning, it has more planets, but...
No military ships
One month later a handful of ships, still not even close to weakest AI
Two months later 5X the leading AI and the game is effectively over...
You can have the 136k huge abundant all, nine AIs, three years. Ugh, that game was killing my patience! First big DA game, and the AI was on equal footing with me for the first war.
LostHero,
We tend to be a bunch of nitpicks about using careful terminology. It sometimes matters a lot. This particular case is one of them. In most strategy games advanced AIs simply receive extra forces and units from thin air. It's why the distinction of "only" bonuses matters, it implies that the AI is NOT getting free stuff from the ether and you can play accordingly.
Try not to let us get you down!