No no, you got me all wrong.
I was talking about following order:
1. Open tradition for the 3 cpt
2. Open Liberty
3. Republic - Collective Rule - Citizenship
4. rest of Liberty
5. Whatever you want, be it fill rest of tradition, some patronage, commerce or exploration
This way, you can skip the monument at the beginning (like you do when u go full tradition from start on) and still get decent cpt.
The reason (in my eyes at least):
Social policy cost (for one city, u have not more at that point):
25 45 90 160
If we assume we are not very lucky with the scouts and do not hit culture ruin, u hit 25 at turn 25. Then open Tradition, cpt becomes 4. At that point you should have 2 scouts and a shrine and maybe even working on the worker
around t36 you have the worker working, monument is done, pantheon founded and you open Liberty.
CPT is now 7.
t48 - Republic, with Granary and probably some archers ready
~t70 - you get Collective rule and by turn 80 you have 4 cities and the capitol is grown and working only upgraded tiles, you have hopefully sold some early upgraded lux etc.
If you go directly into Liberty, you basicly need 160 less culture.
So after the 10 turns for the scouts, lets say 8 more for the monument.
At turn 18 you got 3cpt.
T21 - Open Liberty (4cpt).
T33 - Republic
T56 - Collective rule.
OK! Thats indeed ~14 turns faster BUT:
1) You have to do the Monument first , before shrine => you get your pantheon at least 10 turns later (that might be crucial for the quality of the belief).
2) You delay the worker additional 10 turns -> thats 10 turns with less food, production, lux and income from selling it.
Also, you stop growth of the capitol because of the settler production earlier. And on top of that its quite possible, hat you do not have enough gold to buy the 3rd settler at that point .
Well, don't know, the more I think of this, this all seems close
Still expansion after the capitol is grown a bit more sounds better for me. Still its something to think about.
* the whole thing is under the assumption, that we get rather unlucky with the ruins, we hit maps, barb camp locations, upgrade to speermen and hopefully at least some tech, but no culture or faith from them.
If there is any flaw in my logic - then let me know, like I said - I do not have much xp with the game, but that strategy worked pretty well for me at Prince and King. If there are not much hammers in the cap, liberty seems to make things faster than tradition.