It will increase definately after bitcoin hardfork, but how much - depends on development of Stox platform and how circulatinf supply of STX will be regulated. If Stox team will make emission of numerous amount of STX upon their decision, STX price will still be low
This may be happening on 17th-19th, the date is not fixed yet. It depends on the date and time of the Block 494,784. After the hard fork thing has settled, people will rebuy altcoins, this is the logic.