You should add a component that tracks your head in the browser and then re-renders the perspective. Should be fairly easy and would make it a lot more immersive.
While that is a great which I will definitely consider for the future, this website at least supports WebXR. In case you have a VR headset, please consider trying to run this video using one!
Thanks for trying it with the quest and for the feedback. I really haven't thought about this issue. Yes, you are right that I have held the camera with my hand. I'll think about this and probably will need to do something equivalent to video stabilization.
The easiest thing would probably be to just have the first video the people see be shot on a tripod, that will show everyone what it can be.
I have to say that I am actually thinking about using something like that for our VR fitness game. In that case the scenes would be shot from a fixed angle anyway.
I'd just have to figure out how to get that into GodotEngine and without killing the performance.