I don't think they want the whole Progress tree. The 1st policy on each side is useful, but the rest and the finisher don't work very well for them.
I don't know, whenever I open a tree, I always try to finish it, except when I get an ideology from the tech tree. And the city connections one and and the population happiness one might be good. Venetian puppet population counts for luxury happiness, so I assume they count for that too. Haven't tested as yet.
I don't think they would want to waste 3 policies in progress without finishing it to be honest
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On the topic of Progress, I can imagine the +2 food/production would help your worthless puppets quite a bit.
They aren't worthless puppets at all. They can buy any unit, barracks or not. I mean, yes exp units are better, but pre-railroads it can take quite a few turns for me to get units from my main cities to the war front. As above, they count for luxuries. They can build national wonders now to keep Venice itself on World Wonders and crucial regular buildings. Obvi worse than regular cities, but they also don't take thirty (marathon) turns of capital-killing to get. And like GamerKG said, city-states get really good spots in my games. Half the natural wonders on the map start in CSes. 75% or so start on the coasts, so a bunch of growth potential, if not production perhaps. And abundant iron, horses, and luxuries. I exclusively play Shuffle map, can't speak to how other maps place CSes.
Authority and Progress? Are you joking? The first requires to farm barbarians to stay afloat, the second - quickly expand 5+ cities. Neither of those can be planned on the turn you have to pick a tree.
Awww, I've been insulted by Strigvir!!! How fun! Rite of passage for the subforum?
As to the specific critique: You and I have different lived experience. You play on Deity I believe. I play on Emperor and recently played on King. On those difficulties, combined with Doge Palace, I can go to war with major civs right away. So that's Authority culture quick, and if all goes well, enough cities for Progress. And what map or starting condition provides no barbarians?
I mean, I've been using Tradition in the six or so Venice games I've played. But the merchant specialist comes super late now, and the tree highly encourages trade routes that don't produce gold. Maybe I'm wrong, but I have no interest in those. I much much prefer setting up trade vassals for Venice.
So I'll try some mix and match of Progress and Authority next Venice game, and if it fails, so it goes. Don't know if this subforum will approve of this kind of perhaps Millennial thinking, but winning is not the goal at all. An enjoyable immersive experience that might have the possibility of winning is the goal. So I'm quite happy to try a different way and see what happens. This is super off topic, but before Gazebo improved the attack AI, I could play Immortal games, where I basically watched an AI game that I could influence, but not win. Quite fun too! Now I get overrun on Immortal, at least last I tried. (This change is very much a good thing of course, just providing an example)
(Of course, Funak could convince Gazebo to replace the internal trade bonus before my next Venice game, and then likely nevermind all that)