I personally think the reverse should be the case because the last I checked, litecoin is just a fork of bitcoin with less features because bitcoin already has what litecoin have and people will always choose to make use of bitcoin instead of litecoins for their transaction because of the trust bitcoin have already built for itself, this is the main reason why I don't think the growth in litecoin will affect the growth in bitcoin but I know that the growth in bitcoin will definitely affect the growth in litecoin because it is part of the first coins in existence.

After waves, I do see litecoin is the second coin which made its recovery last month and there will be a scheduled halving for it to be happening this year which may be another reason why litecoin is surging.