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-Vampires are generally terrible at pro-social behaviors. A long, long time ago, they had to rely on (most often familial) bonds to survive, but as their society became more civilized, the idea that attachment equaled weakness formed. Naturally speaking, vampires need both physical and emotional care, but their current society demonizes any kind of vulnerability. Forming genuine bonds of any kind is discouraged, as that would make them weak, and that’s not something that would be allowed to prosper.
Familial bonds, when done right, can definitely have something of a pack mentality to them. It’s instinct to stick close to the people that will protect them, so when a parent or sibling fills that role, they get attached. However, those kinds of healthy relationships are worryingly rare in recent times, and the majority of families treat each other more like what we see in the Sakamaki family. Vampire families indeed tend to see each other more as competition, but more so in a “this person would hurt me” kind of way, thanks to the utter lack of trust and connection between vampires, even family members.