Sorry to be late. Just saw your post.Actually, it's the other way around. The ring of copper around the hole to be drilled helps to center and align the bit properly, if the hand holding the chuck is relaxed... afterwards you just push downward... A press won't allow you to do this... the copper ring would have to be perfectly centered under the bit (and it seldom is, with that technique)... this exerts a side load on the bit that will make it wobble and possibly break.
If you use Eagle, there is a user language program (ULP) called drill-aid.ulp. You can set the diameter of the hole in the copper smaller than the specified drill bit, which makes centering even easier.
John
