So, reporting to one mod (does not matter on which board) will do the job?
Yes it doesn't matter i've seen rickbig, mitchell and other mods move threads from boards that they're not assigned to moderate. I guess all mods would see the reports cmiiw it depends on which mod is active during the time you submit your report.
I'm not sure on specifics but AFAIK it's mainly the global moderators which have the full perms to see reports from all subforums. The rest only moderate the subforums they are assigned to and naturally can only see reports from their sections