Depends on the reamer tolerance, but the standard H5 should cut about .0005 oversize. Nominal bar should be a touch undersize.
As for getting reamers to cut to size, I always understood it depended a bit on the reamer. A machine reamer tends to be more tolerant of being asked to take a bit of chunk.
The problem is howerver, less one of cutting to size, but if any length is involved, cutting straight. Where that is important, I’d be inclined to bore to within about .005 of finished diameter, and then I know that either kind of reamer will cut both straight and to size – because by the nature of the beast, its difficult to guarantee that a drill will do either.
OTOH, if its not critical, then I’d drill 1/64 or so undersize and put a reamer though.