Not all people belonging to the Bastard Bears lost their sanity. Generally, it depended on the blood concentration, and the higher it was, the stronger the aggression some from their clan would show.
Making it so, that the more one is blessed with the stronger blood, the more volatile they would be. With only a few exceptions throughout history who were able to hail in that insanity.
The reason for this was also apparent, the more they got angry, the stronger power they would gain. And for most, it was easy for them to lose themselves while being drunk on power.
It was why those who could control their strong blood were hailed as princes in the family, no matter if they were from a branch or the main family, which was why Salvarez was considered one.