Greased, springed and reassembled everything today. Lovely smooth actuation now. Getting the plate/shoes combination back in the drum takes some fiddly alignment though! Lots of buggering about until it kinda
ssshhhhhhcccckkkks in.
I adjusted the link bar between the two shoe cranks. In fact I got so eager I forgot to take a pic, so here's a reenactment.
In the real job I had elastic tied to the end of both spanners back to the wheel, set up so you're pulling both brakes on. You then just twiddle (technical term) the clevis on that link bar until the pin drops trough the hole smoothly. It went straight in, first go! That made me hyper suspicious so I adjusted in both directions just to confirm that, yes, I had indeed stumbled into the sweet spot first try.
Before you say it Ricey, the white marks on the plate are not scratches, they're ceramic grease.

Similarly the brown stuff around the big nut is copper.
The central nut on the plate is well chewed up, i can't get a spanner on to tighten it properly so I'll get a new one.
I also oiled the brake cable. I inherited one of those twisty plunger cable oilers, it's bloody great!