Hi Emmanuel,
You described already how it is done, activate a Selection Tag and check in the Attribute Manager the next option.
Your idea, which is certainly an advantage in speed, has a similar option in the viewport, but for object selection only (see image). Not what you asked for, I know.
In the viewport, position the mouse pointer over the object you want to select. Shift+right-click (Windows) or Shift+Ctrl/Cmd+click (Mac OS) to open a selection window containing all objects hit by the selection ray. Choose the object that you want to select.
I mention it here, as it might help to get a suggestion in a faster way across, just a thought.
To start from a model and have then, perhaps with a RMC (right mouse click) fly out menu all connected Tags and Materials is not possible to my knowledge, as in the example above.
Certainly a good idea if that is something your workflow needs. My impression is, that the information “Tags” are storing, already a partially duplication of the model itself in most cases. To have the same amount of data available for a each polygon, it might perhaps slow down the scene drastically, or at least would blow up the amount of data of a scene in a critical way.
The only option I can give you here is again the support (just in case I miss something) or directly to suggest this to MAXON.
http://www.maxon.net/support/support-questions.html
http://www.maxon.net/support/suggestions.html
The way I do it, is not going from the Editor View or the Object Manager, I go from the Material Manager and there in “Functions” for example, or in the Material Editor>Assignment (RMC).
Yes, the selections nor the polygons are in teh tools mentioned, it is always a Material and Object relation that is managed.
All the best