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Pixel values are discrete (length x width x r256 x g256 x b256) and vertex values are continuous, so that is one major difference.

Secondly, there's vastly more labeled image data in the world than 3D data, so creating a CLMP (contrastive language and mesh pairing) model is harder.

It's very late but I may be able to give a much better answer on more of the nuances of 3D generation tomorrow.

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Would voxels be easier than vertex-based meshes?

I can imagine you'd have the problem of stray floating voxels then, which isn't as noticeable when it happens with 2D pixels.

The “hot new thing” is NeRF, neural radiance fields, which can take into account the way light interacts with the object (and hence you can correlate data from pictures taken at different angles)

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