I think your tap is probably OK. Taps are made to exacting specs, I've never got a bad one.
I've sent a link of a thread profile. Notice the external threads don't come to a point. The threads of a tap do come to a point. I think that is where you are getting the .013" difference.
They do make oversize taps for holes that will be plated or painted, but you would have to specify that.
If there is an "H" spec on the tap, it should say "H3" for a standard tap. If it says H5, H7, H11, it is oversize.
Something you might check, if you want to make another bushing, measure the hole before it is tapped. Your drill may be going oversize if it's dull or been poorly sharpened. The hole should be 12.8mm or .504" (1/2").
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