Yeah right.
To beat 2 archers in a city, you need over 10 warriors to win consistently. If a 3rd is whipped, you might even strike en-route just to get enough warriors to take a single city. It's a little better if you're aggressive, but not much.
Now, if you are on marathon, you're at least benefiting from what amounts to the effect of a military academy (since you don't have other multipliers yet). Even there, a cost effective non-quecha warrior rush is highly implausible. Your tech falls behind just to get another city? You could just...build a settler? Possibly use axes or chariots for a much better kills: investment?
We haven't even gotten into the barbs yet, or how the AI might actually get FOUR archers on emperor on a typical speed.
Building 12-15 warriors doesn't put you a "little" behind. It puts you *very* behind. Also, just the odds of you having an AI that's close enough are low. On prince-, you can get to them even if far because you don't need a ton of warriors...but building double digit warriors is a huge outlay, and it STILL doesn't guarantee success...especially on emperor+. Just opening so it's possible will slow you down if you opt out, too.
Well damn. After reading this I had to try it again, I meant attacking a very nearby enemy with ~5 Warriors while his other Archer is exploring and he hasn't built a third one yet. I only succeeded once in about five tries now. I guess I've just been very lucky in the past with the rolls and usually managed to take the city.