Looking at The Fortunes Smile in particular.
Do focus effect honor gains rehonor?
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.
Looking at The Fortunes Smile in particular.
Short answer: No.
Long answer comes from checking http://rules.l5r.com/Physically_marked_ ... shonorable:
"There are a number of ways to rehonor a dishonorable Personality.
"Before a player gains Honor from an action or trait that targeted..." Does not apply, as The Fortunes Smile does not target.
"came from..." Does not apply, as The Fortunes Smile does not come from a Personality.
"or was performed by one or more of his or her dishonorable Personalities, the Personality is rehonored and the Honor is not gained." Does not apply, as The Fortunes Smile is not performed by anything.
"Before a player gains Honor from attaching a card to one of his or her dishonorable Personalities, the Personality is rehonored and the Honor is not gained." Does not apply, as The Fortunes Smile does not attach.
"Before a player with one or more dishonorable Personalities in his or her army gains Honor from allying with that army (see Invite Allies) or from destroying opposing cards in battle resolution, all such dishonorable Personalities are rehonored and the Honor is not gained. In a tied battle, all dishonorable Personalities in an army are rehonored before being destroyed, and their army’s leader gains no Honor." Does not apply.