A topic from AEG's L5R CCG Rules forum, copied for Oracle of the Void from a copy of the forum saved in October 2015, so pages it didn't save are missing. Players' names are left out; the rules officials are named. Rulings are as they stood on these dates; later rulings, the rulebooks and the Rules Archive may differ.
A player, 17 April 2014
The Remote Monastery of the Dragon says "You cannot Recruit Monks with another Clan Alignment." But what if I gave a monk my clan alignment with Suikihime's Sanction? Technically the monk would still have another clan alignment even though it would have mine.
Edit: It gets worst in Legacy as Monk is a clan alignment itself and therefore I would be able to play with almost any personalites.
Brook Cunningham (rules official), 18 April 2014
The Remote Monastery of the Dragon says "You cannot Recruit Monks with another Clan Alignment." But what if I gave a monk my clan alignment with Suikihime's Sanction? Technically the monk would still have another clan alignment even though it would have mine.
"Another" in this case means "other than yours". Now, very true, if you use Suikihime's Sanction on a Monk who already has a Clan Alignment other than yours, giving him yours still won't allow you to Recruit him.
However, if for some reason you use SS to try to give your only-Dragon Clan Monk another instance of "Dragon Clan", that doesn't cause any problems with the Stronghold for two reasons. First, if you try to give any card a keyword that it already has, that effect fails. So, it can never possibly have two instances of "Dragon Clan". And even if it could, that still wouldn't violate this sense of "another".
Edit: It gets worst in Legacy as Monk is a clan alignment itself and therefore I would[n't] be able to play with almost any personalites.
Now, this one is just very true full stop. Unless/until a special Rule is made for that Stronghold in Legacy/Big Deck play, you will never be able to Recruit ANY Monks while using it in those Formats, whether they have your CA or not.