@Leon12431, the three Attributes (Physicality, Mentality, Personality) influence different things, but Physicality only influences your Combat score. I assume it has other side-effects - such as, perhaps, Atraxas having 14 Wounds?
Can all of the following be progressed with Calc Heart Independent Action: Streamline the Code of Law, Improve legal procedure, Foundational Medical Care, System Overhaul, Planetary Terraforming, System Orbital Alignment, the Turn-Skip DC on Matryoshka Project? If not all, which ones can't?
The stats are not
absolute. Technically speaking they are only
true within the same species to a degree. It's just an abstraction that works to compare generalizations of ability between species.
Custodians have 4/4/4, Primarchs have 6/6/6 in their stats, the Exatari have 3/3/3. However, the Exatari are
closer to 4/4/4 in
human terms than they are to 3/3/3 in human terms. Atraxas for example is
smarter than a custodian and could have an intelligent conversation with Great Crusade Perturabo about technology. But the secondary/narrative effects is what dictate the more subtle factors, in short due to the Exatari having 3/3/3, they are simply
less compared to a Custodian even through their
actual abilities are basically peer. This basically manifests as higher stats bending the universe/reality around them in a manner that is distinct from the warp which is why it affects the Exatari fully.
The stat baseline dictates
alot of soft factors. For example if you had an intelligence of 0/1/2 your DCs would be orders of magnitude higher, resource costs would be
unknown and corruption would be a major problem. However, Atraxas due to having a Mentality 3 above humanity, he simply
ignores that junk outright since he can brute force things.
Physicality does apply to how many wounds a person has and their wound threshold for combat purposes. It also has soft factors regarding how hard it is for the warp to passively affect them. In short higher Physicality helps vs resisting warp mutations.
Edit: the major thing that baseline stats effect is how high your skills can be.
Of those actions the Two law actions can not be handed off to the Hearts. Legal actions are too complex and too suspicious to be doable with dumb computers.