Just an opinion, but it doesn't seem to be much of a concern.
5/8 = 0.6250" =15.875
ANSI Standard, not listing 24 pitch thread though...
http://www.engineersedge.com/screw_threads_chart.htm
0.6250 nominal for 18 pitch, 0.6163 minimum = .6163x25.4 = 15.625
If you look higher in the chart for a matching 24 pitch thread, the tolerance between max & min is .0070" on a 3/8" or 0.17mm
that puts your .075mm better than halfway in the 0.17mm tolerance.
Another way to look at it, 15.875 - 15.8 = .075mm, =75 micron.. = fine human hair, and that's on a round thread, so it's half a hair depth on each side.
I doubt the gunsmith would machine it to that tolerance, if you cut to the correct specified depth, it would be equivalent to miniscule wear on the outside (non working part) of the thread. Finally it's more about the thread pulling it into the shoulder and sitting true to the bore.
Hope this helps.