I really think we're going backwards here.
You've broken it up at 2^-2 2^-5 and 2^-8
2^-2 is bitcents (again)
2^-8 is satoshi
but now you have a new unit 2^-5 and no you cannot call it micro(something)
Look at the chart again.
The positions of milli, micro and nano after the decimal point are non-negotiable.
Not my rules - it's the way these prefixes operate on the whole planet and always will.
Julz, I took a step back from the naming argument and proposed a simple way to identify the significance of digits. Some people identify with words, others with images. Splitting it up into 2/3/3 is a good idea because 1) we only have 8 digits, not 9 and 2) we are used to 2 digits after the decimal.
I agree with you that this spacing would conflict with the official names on the positions, but we don't need to call them by official names. After all, no one says "That $9.99 book costs 9 dollars, 9 decidollars and 9 centidollars.

We call the first two bitcents, which would be easily accepted.
We call the last three satoshi
We just need to create a name for the middle three.