I'm sorry, but this "reason" is rather weak for cutting off her as LI. Firstly, it was MC from completely different game and she has no business with MBML's MC, she's just defending him. Secondly, seems like LCC's MC and Claire already solved their problems according to moment when MBML's MC asked him what happened with his eye and when LCC's MC looked at Claire, she blushed a little bit, smiled and bowed to him. There is no more conflict between them and I coudln't care less about fact who she killed in her past, because seems like she changed a little bit and can go crazy only when she needed it, it's not "random crazy/scary moments out of nowhere".