So we have the three "main -res" in the game:
Tsundere = Sally
Yangire = Sage
Yandere = Josy
No, Sage's temper is shown in the very first meeting there is nothing sudden about it. Jill is closer, but by the time she actually goes for Tybalt's balls it has been building up for so long that sudden is once again off the table.
Josy could turn out to be a yandere, but I really hope not. Leave that to fanfiction writers along with the serious NTR, incest and whatever else they insist on cooking up.
To be honest none of the manga character tropes really fit BADIK. The characters have too much complexity. Even Sally is a bit off. A tsundere is supposed to get aggressive because she's embarrassed of the romantic emotions/perverted desires. Sally is obviously comfortable having those emotions with Magnar. It's more a case of her taking her frustrations out on MC and then warming up to him. She would still be going from tsuntsun to deredere and thus it would be a tsundere development, but it isn't how the trope typically goes.
The only girl who really gets angry over her own emotions is Bella and even with her it's just the starting point. And her story is more of a kuudere melting than a tsundere calming down.