You make some good points, and I see where you're coming from. However, I have two main concerns:
  • It could confuse people.
  • More importantly, it's important to maintain the reference to Satoshi.
  • I get it, but it's not as confusing as it initially looks. $1 = 100¢, yet 1 BTC = ₿100,000,000. It's literally a million times easier to distinguish BTC from sats(₿)!
  • No need to stop calling it "sats" (we call it "dollar" and use $!). Also, Satoshi was the one who designed the ₿ symbol. Nothing honors his legacy more than using the currency symbol he has created!