Well, the chainwheels and motor sprockets have just arrived, and they are indeed 2mm thick.
I won't be able to do anything about fitting them until nearer the weekend, but I have to say that IMO the new chainwheel is a singularly unimpressive item. Sure it's a clever bit of metal-bashing, what with the splined collar on it and all, but I do wish I had access to a hardness-tester nowadays. I'm always deeply suspicious of any power-train part which is chromed as much as this one is.
BTW, notwithstanding 50 Cycles saying the wear on mine is par for the course, I still reckon that if this chainwheel is in fact heat-treated, it isn't heat-treated properly for the application. Every worn chainwheel or sprocket I've seen in the last 50 years or so has been just that - worn. I've never seen deformation/burring like this, and if that's what this chainwheel is supposed to do, I'd love it for somebody to explain why!
I'll report back ASAP ...