I've run a number of local gigs over the years and we did a time sheet and a log book. It always elevated any concerns w/ LEO. Besides you have a record of your movements if any issues arise later. It's a Federal doc.
YES, nautical miles should not even be in this requirement. Nautical miles equals around 6076ft vs a mile that is 5280ft. And remember the rule uses AIR miles. SEE, I told you that after 20 years in the NAVY I'd learn something.