by fully visible, I guess you mean to show it larger, or in full/original size right? Have you tried clicking on the “eye”-icon. I wonder whether that new view would satisfy your needs. Showing large UI changes on a hover is often stated as bad UX for the reason that it potentially clutters up too much space of your screen and besides that maybe is distracting if you just quickly want to zoom through multiple elements.
From your screenshots though I’m not sure but it looks like they get cut-off at the right border of the elements panel is that true? If that is the case then for sure we’d like to have them floating over other areas.
Maybe you could post a screenshot of your entire workspace setup with the panels and one eye hovered so we see that full scenario. Thanks in advance