Just doing this for Ryuuken for now because he's probably the most relevant.
Is it cool for River to read your character's mind? Yes! But Ryuuken has very strong shields, so what she gets may very from day to day. Is it cool for her to talk about it? Also yes! What might she find there? Umm . . . thoughts about his son, his hospital back home, thoughts about Rikuou (with whom he has a psychic link), . . . his cat. IT DEPENDS. Would your character notice? Yes!
Since there wasn't a post about it, I'll just add this here that Ryuuken was extremely close to the . . . second River, I think? Whichever one Rui used to play. He helped Simon with figuring out medication to give her, taking care of her, she was basically like a daughter to him. He knows about her past and what happened, etc. So he will be glad to see that she's doing all right (for as all right as River can be), but he will also be rather sad because she doesn't remember him and he still thought about her from time to time.
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Is it cool for River to read your character's mind? Yes! But Ryuuken has very strong shields, so what she gets may very from day to day.
Is it cool for her to talk about it? Also yes!
What might she find there? Umm . . . thoughts about his son, his hospital back home, thoughts about Rikuou (with whom he has a psychic link), . . . his cat. IT DEPENDS.
Would your character notice? Yes!
Since there wasn't a post about it, I'll just add this here that Ryuuken was extremely close to the . . . second River, I think? Whichever one Rui used to play. He helped Simon with figuring out medication to give her, taking care of her, she was basically like a daughter to him. He knows about her past and what happened, etc. So he will be glad to see that she's doing all right (for as all right as River can be), but he will also be rather sad because she doesn't remember him and he still thought about her from time to time.