I haven't jumped into the Flashpoint Cycle yet, that's why haven't tried Temujin. I want to get my setup done really fast, that's why I have cards like Armitage and Dirty Laundry over more click-efficient ones like Daily Casts, which sets you back for two turns. But I won't go out on a limb to try to convince anyone Armitage is a must have for Sunny.
Spending influence on Zu seems much less flexible than spending it on burst econ. It's true that if you see Zu early, installing it is barely a slowdown; but early on, I usually try to get my Nexus online ASAP, and that's what I need the money for.
However, my latest iteration is -1 Lucky Find, -2 Datasuckers, +2 Knights, +1 Security Chip. So I did change out some influence econ for cheaper breakers after all. Before I started playing Mopus, I had two Paricias, but it felt like I didn't have enough permanent economy for the late game that way. I also didn't like that they can't be used with Jak Sinclair. I'm just now considering -2 Armitage, -Scrubber, +2 Daily Casts, +Career Fair.
Datasuckers are decent, but probably too unreliable. If you count on them for a high-impact run, the corp might shut them down with CVS; CVS also makes farming them on archives impossible, unless you spend more influence on something like Security Testing or Archives Interface, neither of which is worth it for Sunny. They do make your Yog a lot more potent, but to really help Sunny's cloud breakers and against high strength codegates, you need both of them out. If you can't farm tokens with Jak, they're ultimately not great. The Knights I'm using instead now seem much better.
I've taken a second Security Chip because it's basically a late-game Stimhack for Sunny, or they can get Yog past Lotus Field,etc in a pinch.