I presume it's necessary for the revs to slope progressively rather than instantly to avoid excessive stresses on the clutch, flywheel, and engine, right?
Right.
Now what exactly does it mean for the shift to be instantaneous if the revs don't change instantaneously? Or is "zero shift time" a way to express the fact that there is no time spent in neutral?
There my man is the heart of the matter. Be assured that Zero IS Zero.
I've said before in another thread that taking a swearbox into meetings might be a good finance source because there always comes a point where the penny drops. It's the "Well, &@$% me!" moment. There's a good case for ZeroShift being how transmissions should have been designed in the first place. This theory falls short because the priorities were different for low-power, low-revving engines.
I have a theory that it's difficult for people to re-examine the assumptions/solutions of descendants more than one generation back. i.e. as a contemporary engineer, you might go back one generation (20 years) and question your father's status quo but people rarely go back two, or in our case, four or more generations. Of course at the key point when synchro may have been questioned, the world was at war. Post-war, gradually rolling out synchro into all transmissions and on all ratios took another generation. Full 'roll-out' of synchro in the 1960s was, by then, 2 to 3 generations on from its patenting in 1928 and therefore - in my opinion - deemed 'beyond question'. What people have tended to do instead (AMT, DCT etc.) is add 'fixes' (aka complexity) to synchro rather than question it. Classic incremental innovation.
Our resident genius Bill Martin, a non-gearbox guy, was free of dogma when he pondered that derailleur a few years back. While we're on the 'social history' thang, Bill's a Kiwi and I've yet to meet a Kiwi who isn't extraordinarily resourceful. Something to do with a culture miles from mainstream manufactured conveniences leads to serious ingenuity I reckon. I know Kiwis who can build houses, boats and cars from a pile of scrap without batting an eyelid.
Anyway, enjoy your debate!

You can't get quicker than Zero.