And what about the idea to use BITS ?
Sounds like a whole new coin to me nothing to do with bitcoin.
I think sat or s short for satoshi is acceptable, but I don't make the rules. Just think it is unwise to continue with mBTC and alike.
That is quite funny that you say "bit" sounds like a whole new coin and "satoshi" does not.

Most people won't even know the connection between Bitcoin and Satoshi.