OK, I will try to answer on this questions.
First, compare economical situation. I can not compare many save, but I can compare with Cam_H save.
1) Number of cities and quality of cities:
Cam_H- 8
Mutineer-6
From this 8 of Cam_H cities 3 are marginal. Even after full development
Cumae and Neapolise will not be good. ONly if you go in War with Washington you can make somehting of them, otherwize they are culturally pressured. and have marginal land.
Hasting has no food excess and no way to get it untill Burocracy. It might be dicent city at the end, but it will take a very long time to get there.
All 6 Mutineer's cities are very good, and Atlanta will be raised soon to mace space.
Economics:
ON neitral state (not loosing money)
Cam_H - 20% +0 gold 55 Gold 23 research
From demografic, production 48, food 92
Mutineer - 50% (-2gold) 39 gold 41 research
From demografic 77 production, 77 food
That is practically double research and production. With one more city coming online next turn difference will be even bigger.
A bit lower food is because Mutineer has 2 sea food pillaged and one corn, will be reconected in 3 turns.
Military:
Cam_H - 11 Axes, 1 spear, 6 workers, 3 warriors.
Mutineer - 10 axe, 1 spear, 5 workers, 3 warriors, scout, 4 archers, 1 trirema
It looks simular, but Mutineer building Cats, and HE ready in 2 turn for fully military production city.
Texnological development:
Cam_H Missing.
HB riding, MOnerchy, Calendar, Construction, Col, Dramma, Music!, Philosofy.
Agains Mutineer missing Monotheism+Cristianity.
Yes, has had GA, but how can he use it? It will be along time befor he will be able to research Dramma, Music would be lost.
Mutineer Has GA settled in Washington.
On other hand Mutineer allready can build Cathedrals.
Number of religions, same 4, but in Cam_H 2 of them based on stone, needed to go to war or put big mil pressure to get.
In Mutineer's religions only 1 need stone.
Wanders: same, except Mutineer Has Oracle, GL ready in 2 tirns with coming chop, Cam_H ??? as he does not prioritise it. I think it is very risky, as other continnet seems to advance fast. Remember how early they RESEACHED CoL?
Mutineer are not building chapel yet.
Building:
Cam_H - 2 barracks, 5 granaries, 2 libraries, 4 temples,1 monastery.
(Note, London still does not has Granary)
Mutineer: 3 barracks, 6 granaries, 2 libraries, 2 ligthouses, 2 monastery.
It looks about the same, only Mutineer concentrated on economic+ religion spread building, when Cam_H on temples. I suppous he need them becaus ehe does not has HR.
Conclusion:
From every economic category Mutineer is Mach better or = to cam_H. Especially notisable double production and research.
Mutineer can Jump research even more by selling meditation for gold and coming currency will improve economic situation even more.
General plan and policy.
I do not knowhow you, but I do not like to crunk 100% culture when I have 2 neaibors near by. Adopting religion can be hurd, as one of them probably will have a different ideas. IN addition, NO Washinton and no god Mao are peacefull. I do not want to waster resources on maintaining military parity.
Cam_H practically finished expanding, if he does not go to war and he can not lucking construction. He can take barbarian city and no other area are scouted. So, 9 cities, 3 or them marginal. He practically forced to pure development now on.
Mutineer, everything ready to war push with pplan of selectivelly taking or raising Washington cities and Roman cities. After that probably strike to Mao with Idea to Vassal him.
After that no competitor on starting continent, go full culture.
Gifting Mao old military units and some tech should get him power higth evogth to avoide oversea military conflict, and even if it happened, it is mach easier to defend. Vassaling Mao after just 1 war and after absorbing all north of continent should let him with resonable chank of land, so probably tect trading/exploting wil be posible.
Diplomacy and trade.
Mutineer more or less finished trading with same continent civs, still there some extorcion will hapended. So, when New continent made contact mutineer will start with clean state.
Cam_H did not trade mach becaue of luck trading matherial.
Resonably soon other continent contact as or we them.
Technologically there is no comparesing.
Amount of beakers Mutineer own is more then double that Cam_H own, it is absolutly no contest. Mutineer did not traded Philocofy or Music or construction away, still having monopoly on them.
Now, because of that Mutineer does not DEpends on tech trade with civ on same continent any more and Can simple do with them as he please.
Cam_H in Passive position.
Conclusion:
Simply put in game plan.
Cam_H Forced to take passive position and Hoped to get safety for cultural win diplomatically.
Mutineer in position to dictate and force on same continent a good diplomatic situation. Even If Mutineer would not go ionto war with Mao, adopting same religion as mao will help to achieve a good relationship with him.
Tect trade wize it does not matter as mutineer finsihed with trade and after contact with second continent trade will become avalible.
There some argument about what one to do for cultural win. But it is not matter what you should do, but what you can do to get to best position posible.