...yeah, no.
Harry is a separate Grail System, in-story (he's aligned to the 3rd more than the 2nd).
Anyway, to remove much of the BS that Fate's Gamble!Harry Potter has, I intend to have him be kept under Zouken's thumb (because he and Hermione managed to keep Sakura away from the Matou, or so he reasoned to himself), so a lot of Harry's abilities will need to be toned down because of that.