I should disclaim that I work on a 3D capture app called Polycam, but in that work I've grown used to the idea that 3D captures are inherently better at conveying some kinds of visual information than photographs are. Like a room with graffiti on the walls. The opposite is also true - 2D photos are way better at sunsets & portraits.

So I guess what I'm saying is that I'd bet there are some undiscovered cases where 3D is going to be better for data representation / manipulation.

That's a great point. I had a VR headset that worked with phone a few years ago, and it was absolutely incredible how 3D still images have the ability to make you feel like you are someplace that you are not, at least compared to 2D still images and video. 3D will certainly give designers more tools to work with in making memorable visualizations which is an important feature for many visualizations.