Honestly Cait sluttery could have zero impact on her relationships with player, if handled properly.
Consider this sequence
Cait spent her entire life in sex temple, learning how to pleasure pp -> got into a this game (hard pressing F) -> lost sister -> meet player -> step on the road of adventures, to put down demons and their supporters -> remembered that she was sent here to built a temple of sex (thats not the actual reason why shes there, IIRC, but whatever) -> after building is built she goes inside for a usual, for her, activity -> spends there X time -> slow realization that player cares about her more than just a piece of meat with a hole in it, like everybody else in the temple (agreed to help her get he sister back, built temple, general 'people become closer to each other after passing trials of fate together') -> expresses her feelings to player (optionally after Y time, with some/lots of reflection) -> 'but Im a SLUT, anonname!!!!! what do you think about that????' -> roundabout crossroad here
'Yes, you are slut, but you MY slut' -> vanilla path, she drops her semi regular sluttery but shes still is a highly professional slut (means kinky, messy sex)
'Yes, are are slut, but its hot and spicy' -> she keeps going on a regular gangbangs on CD, but player now can be included in them and/or her pussy now is players personal property and/or player impregnates her to and/or lots of other variants
'Yes, and thats a problem!!!!! Hard pass for me!!!!!' -> kittycat is still with player but thats the end of her path
I spent like ten minutes on it. Does that mean Im better writer than a semi professional smut writer with 40K benjamins income?