I did some further tests but haven't got any wiser. Although I did solve the problem for my needs at least.
My problem was with a mesh and rig (animated) referenced into a scene. Where scrubbing or doing a playback would make it disappear.
This was all around the centre of the world so I don't think it's the same thing as you had Eric. I should note too though, that there are four other different referenced and animated characters in the scene and two of them display fine, as far as I can tell nothing is different between them.
This disappearing is happening both in the shaded and wireframe mode.
Duplicating just the mesh so it's no longer rigged and simply static = disappear
Taking away the shader and assigning a plain lambert = disappear
Exporting the rig+mesh to a new maya scene = disappear
Trusty old .obj managed to remove the bug (but then the animation and rig is gone) and exporting it as an alembic did too.
I didn't try exporting it as a .fbx.
Mikael