Well, it turns out that, this evening, the weather has been good for repainting wiper arms.
I rubbed down the light alloy on the one I did not do last time, applied acid etch primer before it had time to hydroxidise, and then gave it a series of semi matt black coats. While I was about it, I inspected the other one carefully and decided to overpaint a couple of areas and rub down and repaint the part that had a run in it.
Now that it has all dried, it's looking pretty good. I'll inspect it all again tomorrow, but I'm hoping both arms will be ok to refit to the car