I tried to incorporate it in my workflow several times, but usually I end up <C-Z>ing the Vim process and commit, branch etc. via the command line. I understand that Fugitive _might_ help resolving merge conflicts, but this is really just a small percentage of my daily Git workflow.

Maybe, there is some deeper sense in it that I haven't grasped yet?

That's what I do, too. I keep it around for :Gblame.

try this:

:Gdiff