Hi!
I'm afraid that the game you're looking for isn't the one on itch. I made two versions of Squish, and the first one is the one seen in videos from back in the day. I made it with unreal engine for the oculus rift developer kit (I think DK2 but am not sure, could even be DK1). I sadly don't have those files anymore, but even if I had them, I don't think the game is playable with any headset other than those old developer kits and old pre-SteamVR software.
The second version of the game, the one on itch, is way inferior to the first one. It was my first attempt at building a game in Unity, and while technically functional and similar to Squish v1, it lacks almost everything that made Squish v1 great. So the reason I made it restricted is because it wasn't the same game, and it's really bad compared to the original :D
If you ever find the original unreal engine game, in the dark and gritty industrial area, please let me know where to find it. I'll gladly restore the Itch page and host it there for historical reasons, even if it's not fully playable anymore. But the second game is just not worth it; it's a prototype tech demo at best, not even on the level of one of my average game jam games :')