If you are talking about the very small screws that hold the cover onto the base, I can't say Miller always used cheese head screws, but my Miller regulators have cheese head screws. Here is a NOS one, still with the box. Unfortunately, the box was given the masking tape wrapper long ago.
The screws that hold the entire regulator onto the generator cradle, yes, those are round head.
Sorry, but I cannot provide the thread sizes.