In my opinion, the Indian gun manufacturer just uses metric tools (remember, only the US uses SAE). If they use a 16mm drill, that would end up to be a 0.6299 = 0.63 barrel. This is a standard common size and "affordable" drill bit, if you go a 10th millimeter higher, the caliber would be 0.6338 inches, but that drill bit would be much more expensive. And I think a micrometer is not the right tool to get the caliber right.
Metric drill sizes are available in any decimal point brother. Bad boring will however need more honing and polishing!
B.
And then there are industry tolerances on drill bits as well....and that also applies to SAE sizes.