This price is definitely achievable by the coin with well developed technology making faster transactions with lower fees over the internet.Litecoin has shown signigicant growth from last year and still it has potential to grow in future.$1000 can be achieved but it cannot be said that when it will be there.
It is not that easy as you might think, yes litecoin has fast transaction with lower transaction charges and it has upgraded and evolving with the changing technology, but the main hurdle is market adaptation, if there is are a few markets that accepts litecoin, then it is literally not a good coin to hold and it will be difficult to see the price moving higher even if the market capital touches a couple of trillion dollars, market adaptation is important for the price to move higher.
Litecoin will be adopted by other markets also , there are many coins which cant be used even in single market and we can see them in top 10 coins .
so LTC is far better than those hyped coins .