As anyone could see, the importance of bloodlines were not only great, they were heavily tied to what a family represented.
Dyon could already see that Ri and Madeleine were following the right paths. Ri was especially fond of her dark ice techniques which took advantage of her Snow family bloodline and her Acacia family bloodline. As for Madeleine, she started with her Queen Peacock techniques which were modified from a yang version of the technique. Although this wasn't anywhere near the most powerful technique Amethyst had, it was the one that aligned with her constitution the best.
All of this said, when the Spirit Body was thrown into the mix, all of this was interrupted. The weapon itself could be considered to be banned and wouldn't be a surprise if anyone wielding was immediately wanted dead.