@borzel In my humble opinion, I would say no because then you are deviating from industry standard naming. The reason for standards is so that everyone will know what you are talking about as long as you follow the standard.
Lowercase b always means bit and uppercase B always means Byte. Please do not change this. It is trivial to learn the standard. It is less than trivial when people start making up their own abbreviations for things (though admittedly this one isn't rocket science to figure out).