Whilst Brown and Root were the core of Johnsons financing for the rest of his career, they were just one piece of the puzzle.
His cultivation of numerous older men was of far greater importance (there were plenty of other rich backers he could have had, there was only one Sam Rayburn), in particular Richard Russell and Sam Rayburn. Without them he would have never ascended beyond the house.
I investigated this a while back, Starship completely breaks the trendline. I arrived at $120/kg with an estimated 5 reuses.
I think you're missing a trick here purely focusing on waking seconds.
Demis explains this beautifully in this talk here:
TLDW:
The brain replays memories stochastically during sleep, and replays them OOMs faster than they were experienced. This "multi epoch training" allows the brain to learn much more from the environment, and it can prioritise salient experiences.
The reason this visualisation is so persistent is that it taps into one of biological brains strongest inductive biases: stuff falls down.
A more useful (mental) visualisation is a 3D vector field with regions of low/high loss colorised as regions/clouds in space. This gives an extra degree of freedom back to weights.
It also enables you to think about things like weight decay as a gravitational pull towards the centre.