It's true, the bikes with 19" snowflakes use the shallow brake disc, while the R65 snowflakes take the deep one. And if the two snowflakes (18", 19") are the same thickness at the hub, then no matter which one you go with, you'll need the deep disc discs.
I don't know what the difference is, so don't ask me! Doesn't make any sense, but that's just the way it is. 
I might have an 18" snowflake I'd sell. Nice and straight, but don't recall condition of the paint.
Well, to show that I am fully vested in my "box of rocks" syndrome, I called the guy I bought the parts bike from to catch up with him (he'd been out of town), and told him the problems I was having. His response?
"Did you check that extra 18" wheel that was in the parts boxs to see what the difference is?"
Que crickets...
Well, long story short, went home, tore apart garage, found said wheel, took off disc from 19" snowflake and held wheels side by side.
(No Bob, I haven't found my micrometer to measure yet!

I WILL have a chance tonight!

)
Just eyeballing the two, it is obvious the 18" (what DO you call the non-snowflake, aluminum wheels?) is wider at the hub. Guessimating 3/4 or so.
I'm gonna mount that sucker with a michelin I have & see what happens...

I'll report back. Gotta find an inner tube that will fit & hoping theres one in town someplace.
Dell