
How about now?

Yeah...that is going to be doing any good just flopping around underneath the inlet manifold. It's the line which goes to the shift modulator on the gearbox - and a lack of vacuum there would indeed explain why it's been changing gear so harshly.
Sneaky one too...every single other vacuum line is white plastic with a colour coded stripe on it...this is the only black one I've seen on the whole car.
The issue is though that I couldn't connect it without displacing something else...which tells me that something is hooked up wrong. There is a solenoid controlled valve which looks like it should have something hooked up to something on the second port, but it's not been connected since before I got the car... I'd assumed up till now it was a vent.
I made a best guess for what I think went where to give everything a home, but I really need to find a proper diagram to show were the lines are actually meant to go. There are just too many of them on this car to sort out by intuition alone.
This *has* mostly sorted out the gearchange though. Second to third is still a bit of a thump and she still doesn't want to use first gear unless you absolutely boot it from a standing start (not sure if that may be by design?) so I think some adjustment may still be needed, but it's a thousand times better and is entirely liveable with. I'm not honestly worried it's going to snap the propshaft UJ or the torque converter flex plate on a gearchange any more.
With a bit of poking around I ascertained that the IAC valve was doing nothing.
Pulling it off the car for inspection revealed it to be completely jammed up. I did free it off after a bit of effort and cleaning, but for now have put the one off the old head on. It turned out that an adjacent vacuum controlled valve which is something to do with the PCV/idle circuit was also stuffed, both being physically stuck closed and with a blown diaphragm.

It's only moderately awkward to get to, though getting the first bolt out using only a stubby 5mm Allen key was a test of hand strength.

I did come up with some quite colourful names for that bracket the kickdown cable sits in though.
Still doesn't seem like the IAC is doing much of anything... though see my earlier comments about vacuum lines possibly being hooked up wrong. This evening's task is going to be finding a proper diagram of the vacuum line routing. I know the idle should pick up (and used to, albeit only about 80% of the time) when you select a gear... doesn't seem to be happening now.
At least the car does feel driveable again now, I was really worried I was going to break something with how it was before. It looks like a bit of trim on one of the B pillars did succumb to the jolts though and is now being held on by the seatbelt...
Edit: I'm an idiot. That's not an IAC (Idle Air Control) valve I've been looking today... it's the Auxiliary Air Valve...which is used only during warmup from a cold start (it's the device which holds the idle up initially and gradually ramps it down over a couple of minutes). I should have remembered that given it's the same injection system as used on the Saab 900s which I've had three of and have been messing about with since I was about 12. It's amazing what you forget after a couple of years! Thanks to the person who pointed that out, I really appreciate it.