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 No, same supply. Just moving the decimal 8 places. Thinking about it as a stock split is just a helpful frame for people who don’t understand Bitcoin’s divisibility 

BTC price becomes sat price. 
 Ah, I misunderstood what you were saying. I agree with you. 

I feel like this is a common understanding between most Bitcoiners, we just don't like to talk about it much.

The only other potential solution I see is ecash, which can be split into 1/100 of a sat for spending purposes. You would then need 100 ecash tokens to "cash in"  to redeem 1 sat.