Low Tier
Presence
Rapport
Empathy
Stealth
Survival
1 of Craft-traps/cracking
0/+ Utility nin/genjutsu.
Stealth occupies a funny place where how good it is is
completely dependent on the meta - when opponents are likely to actually have solid Alertness, it becomes thoroughly ineffective, but against people who haven't pumped it up it allows brutal takedowns. So, basically it's great for smashing low-to-mid-tier opponents fairly safely, but against any of our
real threats it's borderline useless (unless we specialized in it near-exclusively, which then would leave us a one-trick pony vulnerable to anyone who happens to beat our roll).
Craft-traps/cracking probably doesn't even need to be low-tier for generic combat-spec types, though it's vaguely nice to have someone with them on your team (and maybe it's you). Thing is, non-seal-based-traps have pretty consistently been shown as useful to deal with civilians or some chakra beasts, but otherwise only slowing down or
maybe sounding the alarm against ninja opponents. Beyond that, similar to Stealth, against opponents with high Alertness having a few points here or there just won't be relevant, and any of the high-tier enemies we're actually worried about will have a lot of it.
Survival seems like the kind of thing that everyone should learn enough to pass the basic checks for "not dying in the woods", and then never put another point into.
Actual response: Hazou has a unique advantage in that he has a bloodline that acts kind of like computer memory, from which a many ideas can be derived. If only goosebumps weren't an autonomous response he'd be using every hair on his body for computation already. With the proper inspiration, the math for simple computing isn't actually that hard but you're right that disciplines surrounding it probably need significant development before computing can be applied. This can wait for qm commentary, but in general, a lot of anachronistic math has been shown and justified by the Nara and Mori existing in this setting. I doubt crypto and accounting aren't advanced enough to benefit, graphs and other things I've forgotten have been mentioned so there's some understanding of algebra, and I hope to dump the learning of math/engineering on other poor souls as soon as practical. Hazou doesn't need to do it all himself.
You're right that the crux is on convincing others to cooperate and that depends on the buy in we can get from Jiraiya and Shikaku. Luckily we don't have to convince the entire scientific community, but is it really so huge of an ask from the Aburame's point of view? We only need 1 volunteer for proof of concept, with immediate economical/military applications. This is a bit of extra incentive when the Aburame would have little reason to disagree to equally owned chakra farms in the first place, while simultaneously tying them closer to the hokage's clan. Showing Shikaku gun-like weapons will bring the need for ballistic math to the fore, making quick methods of calculation extra valuable(when there isn't a Kurosawa with an abacus handy). Should this be the first thing we do back at Leaf? No -- but one or two more skywalker-lite acts of building credibility and it doesn't seem so crazy.
I feel that you're underestimating how much of a challenge this is, and overestimating how useful it will be - and, even more so, how useful it can be
perceived as being in-setting. Your earlier answer to "what good are computers" was a good OOC summary of what
we know computers are good for that people IC might want, but it's a massive jump to presume anybody in-world could figure any of it out from first principles.