Actually "coin" was not really a very good choice (as Andreas M. Antonopolous has pointed out many times) as "coins" are a very bad metaphor for how Bitcoin actually works (there are no coins).

The problem with new technology is that "old words" just don't fit very well - so I'm guessing the name was chosen to basically make it clear that it is a type of "money".

So if it were to be able to be renamed then the "coin" part would be what I'd drop - maybe "Bitmoney" might have been a better choice.

(to some extent I think the project eMunie has perhaps done a much better job with its name choice but I don't think that the name is really going to be the deciding factor)