There are standards for the centre hole size and counterbore size for the various thread and screw sizes. As Chris says the fit is "distinctly slack".
I recall taking Halls to task at an exhibition over not marking the centre hole sizes needed on either counterbore or box after the firm bought a fixed pilot set to use in the trials preparation workshop. The workers, not trained machinists, were forever moaning about not knowing what size hole to drill. Halls guy said its in the book so folk ought to know.
It is in the book, but try finding it.
Rep wasn't happy when I told him tha anythiny likely to be used in a basic workshop or fabrication floor whose data wasn't in a Zeus book should be marked up for the erks.
Clive