Extensive googling of Audi sites would had me believing that the OEM Pepperpot wheels on early A3's are a R13 radius (ball) seat.
So I figured I could test this with an experiment at home. I needed a 24mm and 26mm sphere with a screw drilled into one side for a handle. The idea was to cover them in wet enamel paint and push them into the rims and see how much surface contact was getting made.
The plan came somewhat undone when I could only find a 25mm ball sinker for the experiment. So I tried this and amazingly the 25mm ball left a perfect contact print with the seat on the rim. This adds some credibility to Nachala's R12.5 theory. Only that doesn't really make sense to mix a metric M12x1.25 thread with an imperial seat.
I also tried making various molds of the rim seat with plasticine which worked fine but it's practically impossible to interpret anything from the mold as it two arc segments so I don't know what the radius of the segment is (if that makes sense?).
From the ball and paint experiment, I'd be more comfortable with an R12 nut than a R13 nut, as at least I know the R12 will be pulled down hard in the base of the seat. The R13 would sit higher in the seat and have to deform the alloy rim to pull down tight.
I'm still not against conversion washers but the suppliers don't be very specific in the sizing guides, they seem very generic IMHO.
So that only leaves the M12x1.25 R12 nuts from Otis, which are expensive but maybe the only option in this odd size. It appears the radius seat is a European thing which tends to go with M14 lug bolts and 1.5 pitch threads.
Don't you just love customising cars?