A milliBTC is going to become a common unit, since it is going to be more or less scaled to similar amounts of USD or EUR. If you want to want to use a word for a milliBTC that does not have a current definition, more power to you.
Yes, I want to call what we now call A) 1 satoshi or B) 100 satoshis a BITCOIN and what we now call a 'Bitcoin' should be called a "full _____ of Bitcoins". We could even call it a "Full
bar of bitcoins".