Even in a non-Vim text editor, I dislike moving my hands off the keyboard. It's not a productivity thing for me; it's a preference thing. As a web dev (and I hate that most of the interactivity I have to program is mouse-based), I prefer to bring up the dev tools using the keyboard shortcut, and then another shortcut to focus the command line.
I make it a point to stay relatively vanilla on my web browsers, because it helps keep my experience roughly the same as those of my users. If I ever stop developing professionally for the web, I probably will check Vimium out. :)