Yes, you read that correctly!
Good old Shuhei Yoshida. We all know he’s very vocal on twitter, and he’s recently confirmed that while you need WiFi/internet to connect your Vita to PS4 to play remotely, it’s only needed for the setup process. Playstation Lifestyle has reported a response to a gamer asking whether remote play would work should your internet fail:
“Once you had registered them, yes. And even if the router is down, too.”
He also stated you can use whatever setup is best for your connection, as well as being able to choose whether to connect to the PS4 directly or via WiFi. I guess that will bring a sense of relief to people who have connection drops!