I understand the usual meaning, but I use the correct meaning when precision is required.

That's funny. If I used the "correct" meaning when precision was required then I'd be wrong every time I need to use it. In computers, bytes are almost always measured in base-2 increments.

When dealing with microcontrollers and datasheets and talking to other designers, yes precision is required, and, e.g. 8KB means, unequivocally and unambiguously, 8192 bytes.