hmmm maybe if someone could see if this
root file is in fact different, maybe you could rename this to update.zip and flash it using the same method? I literally took the plunge and did it on mine using the root file I found, so if you're willing to take the risk it would be great info to add to the post if it is successful.
Most of the .zip contents appear to be the same or similiar, so you could even take a chance and flash the file from my post. Make sure to let us know if you decide to go through with it! If it works for you, that means all of the 10.1 models (previous to the Tab 2) are rootable using this ridiculously simple method.