1) All these moves are why I've been team "raise Chakra when we can" consistently (though admittedly much more aggressively on Kakashi).
2) The Earth one is really solid for Hazou, as we've established. It's good on anyone, but a couple points for analysis that I haven't seen yet.
A) First, it's half-cost into the 50s, which makes it relatively cheap to boost as a major combat item.
B) Second, protecting allies works with general ninja life, but as a SC user and a summoner, we can also add or start as our own allies, circumstances pending. Yes, this all competes for Chakra, but it's nice to have options, and it makes even a medium tier dog hard to hit.
C) Hazou's pyramid and the amount of things he needs to prioritize is wild. Resolve, PS, Sealing, Chakra, Athletics, Alertness, just to name a few (not counting things like the ES mystery box, that's lower priority since we're getting bones of the earth (which we also need to learn and may need to level, or things like Deceit that are path specific). Any move that fills multiple combat niches for him at once is not only that much more efficient in battle, it's that much more efficient from a training and XP perspective. Inferno Vulpix talked about it's role in our toolkit, and with other team members, so I won't go over that, but it doesn't just let us be relevant, it lets us be relevant quite soon, if we need to be.
D) It would like rad as heck.
E) The biggest downside to the move is that people can leave. We can either keep it from happening antlion style with seals or runes, if that's the direction we're going. Or if they back off, we dimension hop out of there. It's useful for keeping heat off of us, and combines with seals and runes to make us the ultimate "this is prepared ground, it's not worth it" fighter. For half a minute at least.
3) Both the lightning ones are awesome. I was thinking a lightning buff before we got these, and I am VERY down with that still seeing speed of the storm. I think it would do good-scary things to Mari's toolkit, and that Yuno would benefit from it (Haru has lightning bucklers, I don't think they can stack(?), and I don't know if this would really help Kagome aside from initiative). And the fact that it's the most flushed out move description is encouraging for me.
4) As an aside, the lightning one is exactly the sort of "screw this one target in particular" move that the earth kraken doesn't hit. I am not necessarily saying Hazou should go lightning element right now (where would he even find the time), but I AM saying that those three moves together gives him a complete kit, or close to it. Like the Nara move kit, but turned up to 111. Those three plus summoning plus seals and runes? Honestly starts to remind me of Jiraiya's loadout.
5) Noburi is getting medical jutsu, and maybe (if it's compatible) a cool dangerous water whip scalpel. Given that, I don't feel too bad about not getting something water-y. I still kinda want something for Kei, since the shadow techniques are useful but more control and defensive if I'm remembering correctly, and sometime that improves or complements her ranged weapon fighting would be neat. (Dang, I wish shadow shuriken existed in this world, it would be pretty dang perfect for her). I'm just... Weirdly, of the 4 (DNRIP, PFR* Akane), Kei feels the farthest from an Essie? Good and diverse skillset, sure. But lacking the quintessential "my skills and abilities synergize and combine to form a Voltron of F&CK You" that Akane was starting to approach, that Noburi has a lot of the pieces for, and that Hazou will have the potential for but likely never actualize due to being pulled in so many directions as our protagonist. Mari getting her barrier seal and at least one of those lightning techniques is the sort of thing that can get her across that threshold. Unless I'm mistaken, Kei just doesn't have that clear path forward.
All that to say, I'm pitching the two following plans.
[X][Jutsu] Magnetic Release The Dogs of War
1) Speed of the Storm (or similar lightning buff)
2) Earth Kraken (Earth Kraken would be so cool visually, come on, do it for the cool)
3) Wrath of the Storm (or similar)
Back up for wrath of the storm: a big FU single-target Earth Jutsu
Back up for speed of the storm: A Wind offensive buff that synergizes with thrown weapon fighting.
Back up for Earth Kraken: some other Earth mobility/buff technique.
(If we can't get earth kraken, we can try to trade Naruto for swamp of the underworld for the AoE if we need it)
[X][Jutsu] Something for Everyone
1) Speed of the Storm (or similar lightning buff)
2) Earth Kraken (Earth Kraken would be so cool visually, come on, do it for the cool)
3) A Wind offensive buff that synergizes with thrown weapon fighting.
Back ups:
1: a big FU single-target Earth or Lightning Jutsu (like wrath of the storm)
2: Some other Earth mobility/buff technique.
3: best offensive water support move that helps both water whip and water dragon bullet.
*: Do Not Rest In Peace, Prepare For Rescue