I was just messing around and having fun when I said that, but now I feel motivated to actually defend my half-assed position. That and I have the day off, so I'm bored.
First it depends on your personal definition of "overworked", since the definition of working "too long or hard" is different from person to person. You can like your job, but still be overworked. So just going off the list you gave, I think:
That's 16/29.
This is getting interesting. :'D
First of all, being "overworked" to the point that can be called a trope is different from "hey, that sounds hard so you must be overworked" IMO. There's a line between being hard working (which is a virtue) and being overworked. Unless the game explicitly states someone is overworked to the point of not having the time to care for herself, I wouldn't call that "overworked".
That said, let's break your points down.
Aloy: Overworked - If you've played Horizon, she's definitely overworked. She's the only competent human being in that world.
I haven't played Horizon so I don't know the details, but in Genshin world, she's certainly
not overworked.
Ayaka: Overworked - Works as the head of festival planning for the Yashiro commission. Has had all these responsibilities from a young age. Doesn't have many friends to hang out with, and is rarely seen in town.
This is where some misunderstood her character. Ayaka is
not overworked, she's just tired of having to keep up with the perfect princess appearance due to her position. She's completely different from Keqing during Lantern Rite 2.
Barbara: Overworked - Hangout has her barely being able to hang out with friends due to being a nun, the go to healer/nurse/doctor of the entire city of Mondstadt, as well as an idol.
She holds many positions at once but there is nowhere in the game that states she has to work to the point of neglecting herself like Ganyu and Keqing. So she's
not overworked.
Rosaria: Overworked - Nun at day, basically an assassin at night. Two jobs. I consider anyone who has a day and night job to be overworked to some degree.
"Anything is negotiable except overtime". If the person said this herself, I consider her
not being overworked. She still has time to hang around Angel's Share after all.
Xiangling: Overworked - World renowned chef that is always hunting for new ingredients. Any time she isn't cooking, she's preparing to cook.
Cooking is her passion and new ingredients are like new toys to her.
Not overworked.
Yae: Overworked - Two jobs. Head of the shrine maidens, while also owning her own publishing business.
"I decided to found Yae Publishing House simply because I wished to read more interesting light novels, that's all." (More About Yae Miko: III)
"My favorite pastime is reading other people's stories. My second favorite is watching other people squirm... If I could find a way to combine the two, haha... Oh, that would be entertainment in its purest form." (Yae Miko's Hobbies)
The publishing house is just pure amusement for her.
Not overworked.
Yan Fei: Overworked - She's a good lawyer. I'm willing to give her the benefit of the doubt, as being a *good* lawyer is a job that leave very little downtime.
This is like saying a person is definitely overworked just because he/she's a lawyer. Unless the game states otherwise, she's
not overworked.