The price may go up because of it. I personally hope that the coin goes down in value so I could purchase a bunch of it.
The price will go up without a doubt when Litecoin activates segwit, it will be a bubble but I have no doubt that the price will be higher than it was before segwit, this will be a great testing ground for segwit and if it works maybe we will see an increased interest for segwit coming from bitcoin miners.
Absolutely no doubt the price will go because of it.