no.
Discussion
Forgive me if I'm mistaken. How is it then?
My reasoning for it is similar to how Ethereum is described. Which is, ETH the coin, Ethereum the blockchain.
BTC is an abbreviation that is used mainly in commerce. You may differentiate between the two using Bitcoin and bitcoin. Also you might want to double check the information you used to come to this conclusion.
Ether
BTC and ETH are for markets