Your example is so obviously flawed, it's no wonder you have trouble with these concepts. When you say "making it $2,000" you switch from talking about utility to valuation.

I never claimed the valuation of a sat is the same as the valuation of a BTC. I said the utility of a sat is the same as the utility of a BTC.

Which makes the SAT the fundamental "unit" of Bitcoin, and the BTC simply a collective noun for 100,000,000 units.

The number of units is not 21M but 2 quadrillion 100 trillion.