Unfortunately it does not. It only adds https:// to it, not the querystring part of the URL.
I looked through that hidden settings page and found the following settings, but no success with them either, the querystring part is still not showing until clicking the bar:
- Omnibox UI Reveal Steady-State URL Path, Query, and Ref On Interaction
- Omnibox UI Reveal Steady-State URL Path, Query, and Ref On Hover
Note that in regular chrome the querystring part does show as I am used.