the natural outcome of a halving is neutral. the value won't magically double just because the reward halved.
I think price will start to climb slowly because less ltc will be dumped on a daily basis by the miners. The only way price would magically double would be if the circulating coins were suddenly halved..
that's the positive way to word it. but what if miners drop out due to less rewards and stagnating value? hashrate goes down and remaining miners can dump as much as before