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.