Close, but not quite the same.
The ring die I have has zero chamfer at the base, and sizes *all* the way down the case web as far as it can get to the shell holder, whereas a SB die squeezes a *little* smaller, and has less radius/chamfer at the base than a regular F/L die... but it physically cannot size as far down the case web as a true ring die, both because of the chamfer/radius, and because you have to be conscious of not pushing the shoulder back too far.
I need (well, 'want' would probably be more accurate) a ring die or two in other case head sizes to go with the one I have. That one was custom made, but the guy has gone radio-silent since then. PVA was supposed to be making something similar that they called a 'small base' die that used bushings... but they don't even have it on their web site anymore.
Like I said, let me know when you find someone who makes a ring die. I'm interested.