It's pretty annoying that thunar mounts a drive to
/run/media/user_name/XX instead of
/media/XX, can I change that behavior ? I'm running latest arch linux
If you're desperate, you can search and replace the path in the thunar sources, then recompile thunar.
Alternatively, you could make /media into a soft link to /run/media/user_name, or the other way around, since you're the only one using the laptop.