Bits should be designated as the FOURTH decimal place since it's the midpoint between Bitcoins and Satoshis.
The sixth place lacks symmetry vis-a-vis the already accepted and undisputed designations of Bitcoin and Satoshi. Why would you go so far into the decimal places to split the range like this when you have a midpoint staring you in the face?
When you have a major denomination at the midpoint, then you maximize the efficiency of the numbers. You'll never have to deal with a number greater than 10,000 when you are to the right of the decimal. A Bit would be 10,000 Satoshis, and a Bitcoin would be 10,000 Bits.
Isn't this more intuitive and natural?