CoO aids in swordsmanship. CoO sabotager fucks with what's aiding the other person in swordsmanship. So it's definitely part of swordsmanship just like CoO or FS would be.
Idk how CoC zoom call functions. Sounds kind of passive and irrelevant to combat, though?
Again, if Shanks trump cards turn out to be shooting haki lasers out of his eyes or something, then a good case can be made for it. But I think a canonically confirmed swordsman would have his strongest attacks be about actual swordsmanship tbh.
Though currently as things stand, Shanks hasn't shown anything that is outright "excluded" from swordsman ship, either.