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Your absolutly right,thats why I always have a bit in a pinvice handy when final fitting,sort of use it as a reamer if need be.

Is a 4 jaw chuck,any round object should seat to perfection,if not return it,is faulty.

Pinvice,Drillvice,Tip drill,all the same tool,are handy for all sorts of things,I even use them to hold scalpel blades.
http://i22.photobucket.com/albums/b328/spindlecone/pinvice.jpg

AKA-Pinvice

Brad points are nice,but if you can drill a .062 hole in a precision manner,is no reason to go oversize.
A .062 pin in a sloppy hole is not a precise fit. But if you need the wiggle room,do it.

Works for me,some go a tad oversize,See no need for it tho,also mount a 1/16 bit in a pin vice to have handy on the bench while fitting things up.

Any, of the proper size.