+10 influence per great person is very strong, I think its debateably too strong for an ideological tenet (it almost guarantees at least friendship will all CS, which is a ton of yields). The issue with coups is that while they are very useful late game, they are somewhat niche when I'm taking my second policy tree. I really don't think you need statecraft to win diplomatic because the tools provided later on by ideologies are strong enough to get the votes you need, so while the votes are nice I find them unlikely to swing the game.
The biggest issue with statecraft, everything was so slow. Like the +50% to quests, eventually I'll be completing lots of quests, but not when I take this policy. I'm really glad that its gone. Spies need 10 turns to travel and establish surveillance, then at least another 10 to steal a tech, and they still have a chance to fail after that. The votes might let me pass a proposal I otherwise couldn't, but I don't vote for another 10 turns and the payoff on world congress proposals is slow. The payoff on trade routes is slow as well, first I have to build the trade unit, and protect it, and for large empires I'm pretty sure Fealty's scaler alone is capable of earning more gold than those trade route bonuses. Meantwhile Fealty is gets to take a policy and instantly be rewarded with signficant yields.
After some thought, I really like the design of the new opener. Yields in capital per citizen is smooth, once we get the numbers right I think it will be really strong. Fealty's opener is great, I love monasteries. But sometimes I want to be spending faith on other stuff. Artistry's opener is great for all empires eventually, but an issue is if I'm playing authority its very likely I have almost no specialists at the moment. The new statecraft opener provides a solid amount of yields with no condition and is useful in any circumstance. It synergizes with most strategies, if you have tradition you get an extra 10% to all those yields and it can help build wonders or feed the capital. For other empires, the more you expand the more yields!
I think the Fealty and Aesthetics scalers should probably be changed. Fealty is just so good, I think that individually the policies beat statecraft in a one by one way, and the scaler is better. I'd ditch the gold from the scaler, and consider giving it to statecraft. Artistry is in this weird spot where the scaler is so good that the policies have to be weak to balance it out. The tree as a whole is fine even if several policies are bad