Maybe she's not one-eye but for a reason she use the eye-patch that has nothing to do with a wound or illness, like the pirates... There's is a possibility she make use of darker routes and need her vision quickly without notice anyone of her presence
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That really does seem a rather ridiculous theory.
It only takes 20 minutes for our eyes to adjust to night light levels, yet they claim that a pirate would wear a patch all day, thereby reducing his daytime vision by 50% for the whole of daylight hours, just to save 20 mins adjustment time when it got dark.
I think the loss of 50% of your daytime vision, all day long, far outweighs any gain made in that 20 minute adjustment period, when night falls.
Plus, did they forget about the fact that it doesn't just flip from daylight to pitch black?
There's the period called "evening", where our eyes are already adjusting to lower light levels.
I'm afraid that theory seems counter-productive &, therefore, unfeasible, to me.