You seem to underestimate just exactly how tethered Litecoin is to Bitcoin. Unless Bitcoin sinks due to an attack that Litecoin is immune to, Litecoin is going down with any systemic/sociopolitical/reputational Bitcoin failure, because it is Bitcoin with a different logo.
Actually on LTC/BTC today litecoin has actually gained on bitcoin. Meanwhile BTC is dropping like a stone and LTC is not.
So much for being tethered.
Cheers.