Possibly, but I doubt that that is ever the reason for choosing one over the other. These productivity claims only serve as rationalizations of choices already made.
I opine that we're more productive with our tools of choice because we chose them. And that's perfectly fine. We can claim that everyone else would be more productive if they used our unique cocktail of tools and techniques, but the irreducible fact that they do not want to is proof enough of our error.
I recently had to start working in a java project, forcing a change from vim to a IDE. Most of the time I'm just as produtive as I am normally with vim (in other languages, java's verbosity is why I went for eclipse). Their have however been several times where I switched over to terminal for very specific reasons, generally involving grep.
I see the command line as the least common denominator for software, almost all of your computers functionality is available to you. It doesn't come up often, but when it does, it is definantly nice not having to leave just to edit text.