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.
Agreed. Bitmoney would have been a good name, though it's three syllables, so a tiny bit too long to be practical. On that regard bitcoin isn't such a bad name. It's short and practical. Bitbuck would have been cool, too, though probably too easy to relate to dollars. I'm not a native speaker and I don't really "feel" the difference here: is "buck" a perfect synonym of "dollar" or is it ok to use it as a synonym for any currency? Cause if it's the second case, then bitbuck would have been just like perfect.
What would have been a great idea, most of all, would have been to choose other names for the decimals. 0.001 should have had a proper name, like, I don't know, "Naka" (for "Nakamoto"). 0.000001 could have been "Sato" (for "Satoshi"). And 0.00000001 should have been called "bitcent". These are all things that should have been done at the beginning. Now we'd need consensus to change all these names. And we know how consensus is hard to reach. I, for one, am absolutely opposed to counting on a basis of 0.00000001 like faucet users always love to.
Besides I hate the name "bit" for 0.000001, and this for two reasons. First because the word bit is already full of other meanings in English, especially in Computing English. And second because in my native language "bit" is pronounced exactly like the word that we use for "dick". Just imagine yourself buying a t-shirt for dicks and you get the picture. (Now I know I shouldn't speak French in the first place, and there wouldn't be a problem, but I didn't make this choice: my parents did it for me
).