If you're comparing ETH/ETC to BTC/BCH, then you should be saying that BTC is ETC and BCH is ETH. Ethereum "Classic" is the original blockchain. ETH is what forked off from it.
BTC is the original blockchain. BCH is what forked off from it.
Yes, but
where did the original development team go? This should tell us something...
Vitalik Buterin and his core team chose (in fact, they created) ETH (the forked coin). And ETH is now the biggest, most valuable blockchain. ETC is the old, legacy coin, without the original development team supporting it.
Similarly, the Bitcoin core developers are backing BTC. And I believe that BTC will be the biggest, most valuable blockchain as a result of this. BCH is the forked coin, without the original development team behind it. I'm not so comfortable knowing that Jihan Wu, Roger Ver and some unknown coders of questionable quality are deciding on the rules of this coin...