1: Lightning network isnt a good solution to the slownes of BCT, as it wil undermine the security of the network.
2: LTC have integrated SegWit alreaddy so it can support a lightning network too.
LTC wont go away even if bitcoin increses its blocksize as there is enough community support behind it that seems to be 100% on LTC and it is, as Cryptovestor ahve pointed out before, an easyer coing to get into simply because it does not have that high price pr coin, and there is 4x more coins available.