Well doesnt mater from which game you got your header (since this is a valid header) to make the game work, whats mater is the values added on template for each game id. For now the sky3ds cant load AC HHD JP and we dont know if they will add the US version to their template and if it will work at all.
The private header is just for play online safe and not get banned. That is why only you have to have this header and dont share it to anyone
I have the US one before they took it down from their website listing
** : CTR-P-EDHE
SHA1: 97585954F034065A99143553769F78AA25ABF456
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FF FF FF FF FF FF FF FF FF FF FF FF FF FF FF FF
FF FF FF FF FF FF FF FF FF FF FF FF FF FF FF FF
FF FF FF FF FF FF FF FF FF FF FF FF FF FF FF FF
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