Does your GMing style vary by the rules set you're using

In hindsight, I can't see much difference in my own style in broad, save perhaps in some slight and gradual maturation over the years. There may have been a selection effect, in that games that didn't gel with my style I simply passed by.

I also tended to treat games more as different ways to slice reality, and impose different limits on the possible; and can't off-hand think of any game which came with an associated setting that I have ever used the setting from, at least without having customised it myself, until at the very end when I used the Planescape setting.

Even the late slide into a style which was more low-dice, narrative with adjudication came more as a response to trying to fit more than just a fight scene into an evening's play, and happened as much with AD&D2 as with V:tM! It was an exploration of what I could do to improve the execution of the game based on current received wisdom rather than being tied to the actual set of mechanics or genre in play.