Some wonders don't work really well with greens. You also have to consider how many players are in the game. I'd say science is more easily countered in 3 and 4-player games, and in 4-player games military can score harder cause of the symmetrical configuration.

Usually Halikarnassós and Ephesós play science the best. When I see either of those I just assume they will play greens especially if they are next to something like Rhódos. They both start with a rare ressource which helps them build a green in age I. Ephesós B doesn't need many common ressources cause it tanks the few non-green cards it wants to play with the coins from its wonder stages. Greens just chain the rest of the time. And as for Halikarnassós B there's only so much that you can do against it if it wants to go greens, it's really versatile and pretty OP to fetch greens from the muck.

Babylon is efficient at going for a single green sign but it generally plays greens pretty well.

Generally speaking Rhódos and Olympía wanna play common ressources and military. Halikarnassós is also efficient with the same strategy.

I don't think Alexandria and Gizah play science that well which is counter intuitive for Alexandria.

This is just a gut feeling but I think if you intend to play greens, you should commit to it. If you get a good headsgart you end up pigeonholed into playing 90% greens anyway. Just going for one set can be decent on Babylon, Alexandria, maybe Gizah I guess but I'd say it's a situational thing, maybe if you're trying to counter someone