Counterbores are nuts. There are all sorts of versions and a given machine shop probably won't have all of them. There was a standard for them before 1960, then when the capscrew standard changed, they changed the counterbores too. But the tooling manufacturers went on making the old series as well. I remember seeing the pre-1960 counterbores being available in a machinists tool catalog as little as a few years ago.
If you look in the McMonkey-Carr catalog, you can also get "oversized" c'bores that are sized both 1/64" over and 1/32" over the "standard" size. Oddly, none of these sizes matches the standard 1960 size printed in my Machinery's Handbook.
Unless the c'bore is for some sort of critical application, I simply mark the drawing as "DRILL .136 DIA. & C'BORE FOR #4 SHCS" and maybe include a depth, if it is deeper than flush. That way I get the through hole clearance I want and the machinist can use whatever counterbore he has. It's just a counterbored hole after all.
Don
Kansas City