it makes sense using ฿ symbol (for example now, if it's 20 usd cent, you don't have a different symbol for cent, it's still $ 0,20).
But the question is "will normies get that anything below ฿ 100'000'000 is called sats?" time will tell
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The BIP-177 change is to stop using "sats", so its just ฿1000, and we would say "1000 bitcoin".
The BTC ticker remains unchanged, so 1 BTC = ฿100,000,000. I guess we would say "1 BTC is 100,000,000 bitcoins".