That's a great question, and I'm not a Segwit expert...
I look at LTC as a hedge. I can't imagine all three Coinbase coins will move in lockstep forever - though ETH and BTC seemed to move for the past couple months in a pretty similar pattern.
BTC activating Segwit would not necessarily be a bad thing for LTC; there's a name recognition pattern there, but I honestly think people will be looking for a coin that could become "the next BTC." Or the next ETH. And so on.
As always, your investment could go to zero - so that remains a possibility, too.
Makes perfect sense as a hedge. And all kinds of exchanges seem to be adding LTC lately.
Thanks for the reply! I never considered LTC as a hedge. I remember when I first got into crypto about a month ago I was looking for "the next BTC" and ironically I ended up buying a small amount of LTC because of it so you are definitely right in that aspect!
Check this out from my Metacoin site...
http://metacoin.co/hows-your-bitcoin-hedge-fund-doing