Working great, I didn't find any fundamental issues.
For the Original state this dropdown doesn't really make sense, right? Right now we can only have a single geometry type in an object's original data. I think it should maybe be removed but instead the mesh/volume/etc. data-block should move to the breadcrumbs.
Not sure that this is the best solution, but I think this should probably work differently than it does right now.

I don't know if in the Original option we should show evaluated data. (e.g., vertex_normal). What do you think?

@Simon Thommes (simonthommes) the dropdown you mentioned will be replaced by the "outliner" navigation anyways. I don't think it matters in this case.

Now, since this is going to be the same "dropdown" menu where users will pick Object, Node, Modifier, Scene, Collection, ... I don't think the current name/tooltip is correct (Object State Eval).

Yes, we could hide the geometry component type dropdown in this case and detect it automatically. Should I do this change or not?

Not sure about the normals. It's data that is automatically derived and could be useful. It's a bit different from user generated attributes which are only added when the object is evaluated.

I mean if this change is going to be redundant soon it doesn't really matter, @Dalai Felinto (dfelinto) has a point.
But once we have the navigation in the side panel, I think it would still make sense to hide the ones that have no data by design, or gray them out. So I think if this will be easier already addressing it in the current version and doesn't create unnecessary work, it could still be done now.