Outlast is definitely a game that would benefit from VR. It’s dripping in atmosphere with tight but dark passageways and the absolute feeling of disempowerment would lend itself very well to VR.
There is unofficial support for the VR on the PC. However, it would be really beneficial for both fans and developers to get official support and with PlayStation VR helping to push VR into the mainstream. It could add more replayability and potentially more sales with PS4 VR gamers clamoring to get the best experiences possible.