It’s too much work going back and finding everything on the map. There are lots of public maps already, like this one https://www.google.com/maps/d/viewer?mid=1Y_ioR8c1iCSR-t7qTN3Yl1qhAUw&ll=35.65805575511255%2C139.71912145029296&z=14
Oh man, good luck climbing Fuji in September. Make sure you take something watertight to cover yourself in likely case of rain. Also expect freezing temperatures and strong winds at the summit. I didn’t, it wasn’t a fun experience. :D And prepare to walk in a line even if you go on a night climb.
My perception definitely changed after going to Japan. Now the setting is something else I can look forward to beside just the story. If you can, do visit!