Nautical miles are used in aviation as well. In both cases, the use actually has a very good, albeit obsolete, reason: one nautical mile is equal to one arc minute of latitude on the Earth, to within reasonable accuracy. Very handy for navigation, at least when you didn't have a magic black box to do it for you.
I previously had a flight computer with two displays, each of which showed the distance to the next waypoint. One showed the distance in nautical miles, the other in statute. I could never remember which was which, and always had to look at both and see which number was bigger.
Silly measuring systems. We should measure everything in planck units.
Personally, I think the cost argument goes in the other direction. It's true that there would be costs to switching, even potentially lives lost. But there are constant, ongoing costs to having mixed units, potentially including lives lost (and certainly very expensive space probes lost). To me, that says that we should switch as quickly as possible to stop that ongoing cost. It may cost more up-front, but the cost of switching eventually ends, while the cost of staying as we are never stops.