Not by our standards, no. But there’s a significant cultural difference between us and the Hive. The three siblings show their love by killing one another (thus challenging each other to grow stronger, which is also something they see as endearment). Oryx even says he will have children “to love and to kill”.
Killing is also how the Hive cull their own forces and “sharpen” their “swords” - both their literal swords and their philosophy.
The Hive have shown interest in corrupting Guardians, as well. For example, Rezyl Azzir.
However, Savathun may not be directly involved here. As @erin has pointed out, Eris and Eriana’s motivations are personal, and come from a desire to avenge their comrades. We can, however, consider them (and the rest of the Crota’s Bane fireteam) as being manipulated by Toland.
Toland led them to their deaths, allowed them to believe he might help kill Crota, and abandoned them to willingly die at the hands of Ir Yut, all for his own gain. He was obsessed with the philosophy of the Hive. But his lies were all based on the fact that Eris and Eriana already wanted to kill Crota. It was their idea, and he was able to use it to his advantage.
As for Savathun, we know a little about her recent activity from the quests following Malok. And, Dreadfang’s item description reads: “Kingly brother, I thank thee for the gift of thy failure. The sword logic demands a pinnacle.”
Savathun may very well be the one taking control of the Taken - there’s a considerable amount of suggestion in Destiny 2 (which is being discussed in another topic).
It’s possible she is next on Eris’s list. But it’s also possible that Eris is playing right into her hands. Whether she would be doing so willingly is up for debate. However, it’s generally agreed that, like @purplechimera said, she cooperated with Mara Sov to take down Oryx. So there’s already at least one queen in her life.