The effort put into this analysis indicates you are genuinely interested to tie down the intrinsic value of Bitcoin in terms of energy, which is great.
But the logic falls down fundamentally with things like equating a fiat currency with a constant value of energy. We know fiat has no relationship with energy whatsoever, other than what it might be priced in markets, hence the underlying reason of the Grand Energy Ponzi, "Civilisation" to date, where we deliberately ignore all energy comes from the sun, and money should be related to that, in order to put things right.
Energy, the currency of nature, is free, so human money also should be free, and it is becoming so with Bitcoin as a Kardashev hinge, though I know Bitcoin holders won't like the sound of that, it is actually much more valuable in terms of the amount of solar power infrastructure it pushes up.
With more and more solar power implemented, scarcity is on the way out, almost un-enforceable already, and those in power won't like the sound of that.
The question of how many Joules there are in each Bitcoin is one that should have a definite answer, I think the answer to that would be very valuable knowledge, most valuable shared, of course.