Well, I'll be. It works.
I have been bashing my head against this "rooting" thing for days now, and stumbled upon this thread (admittedly this is where I should have started, but I am not so wise).
I have a Nexus 7 2013 with 4.4.2 but no root. The whole rooting thing is not particularily well explained in the world of Android. I am using a Mac to talk to the N7 over usb. Where does the SuperSu belong, in order to be flashed (or Recovered)? Well, in both the adb folder on the Mac AND the /sdcard/Downloads on the N7 is safe, I guess, because it worked! Moreover, where does it say that the appropriate SuperSu is 1.80?? I don't know, but it worked! And who says the two caches have to be wiped? Can't remember, but it worked!
If this is all in one place, in a script, I couldn't find it. I actually PM'd a member in desperation. (I apologize droidshadow. I broke rules). I believe this rooting thing should be a well worn Sticky, in a device independent script, where PATHs are unambiguous, and the word ROM is replaced by something more meaningful to a newbie, and RECOVER from what to what?
Nonetheless, THANKS for the answer. The N7 is awesome! Google too!