Here’s the updated and extend table. I kept the conservative build times since, (1) by ignoring ruins and cultural CS, it is pretty much worse case anyway; and (2) no one gave me a specific recommendation for something else. So this assumes 5 turns for a scout and 8 turns for monument or shrine.
The stolen worker is not a factor, since even if you catch one on T10, you still need to walk him back and chop or mine. So that is after T18 under best circumstances.
Hitting a culture ruin is huge factor, much more significant than monument before or after 2nd scout.
Build Order | Turn to Monument (+2 cpt) | Turn to Open Liberty (+1 cpt) | Turn to Republic | Turn to Collective Rule
Monument, whatever | 8 | 14 | 22 | 32
Scout, Monument, Scout | 13 | 17 | 25 | 35
Scout, Scout, Monument | 18 | 21 | 28 | 38
Scout, Scout, Shrine, Monument | 26 | 25 | 33 | 43 I think the table supports my assertion that scout-monument-scout cannot be better than both monument-scout-scout or scout-scout-monument.
The stolen worker is not a factor, since even if you catch one on T10, you still need to walk him back and chop or mine. So that is after T18 under best circumstances.
Hitting a culture ruin is huge factor, much more significant than monument before or after 2nd scout.
Monument, whatever | 8 | 14 | 22 | 32
Scout, Monument, Scout | 13 | 17 | 25 | 35
Scout, Scout, Monument | 18 | 21 | 28 | 38
Scout, Scout, Shrine, Monument | 26 | 25 | 33 | 43