I think you are comparing apples and oranges. Bitcoin is much different to Litecoin. When you compare the prices for the last 12 months then you can see that Bitcoin raised over 100% while Litecoin only raised around 10%. Bitcoin is much more into focus by the world when it is watching to crypto currencies. If you ask people on the street what Bitcoin is, then most have already heared about. When you ask what Litecoin is, then most are looking frown at you. The halving cuts the amount of newly created Bitcoins and thus, the demand will be higher than the offer. The price will rise, either way.
Wonder, why everyone thinks halving has Bitcoin, Bitcoin price must necessarily rise. Remember what happened to Litecoin, then also all been waiting for that since halving has, Litecoin costs should rise, but this did not happen, the price remained at the same level or even declined slightly, it is also possible to be Bitcoin this time.
