That is not them leaking investiture, but rather a passive effect that they have. They never lose breath by that as can be proven by the fifth heightening.
At the Fifth heightening people become biologically immortal, and at that point holding more breath does not extend your lifetime. If they lost breath overtime holding more past that point would extend their lifetime which is not the case.
I have never once said that, a breath is a discrete unit of investiture.
Breath is different than stormlight, it is attached to the soul.
It does not line up with how we see Awakening work. Vashers ropes don't require charging, his shirt doesn't require charging, lifeless don't require charging, why is this one the only difference?
Wood needs sunlight to grow, the commands probably used this as a base to create the board using far fewer breaths than were otherwise needed, just like Lifeless with ichor alcohol.
It is
The breath never runs out of power, more is simply needed to move the lifeless as it's body breaks down, be that from injury or natural process. Not once do you have an example of a lifeless ceasing to work because the breath simply ran out of energy.
If a machine takes in hydrogen, fuses the hydrogen into larger elements, and then fissions those larger elements back into Hydrogen, and then that hydrogen was immediately sent back to be fused, and that gave it enough power to not only continue running but also power an entire country, that would be a PMM.
What I think you are overlooking is that the spirits never left the system, they were all trapped by the machine, that's why they needed Yumi to get them out, they couldn't leave.