After all, this dagger was capable of sucking up any form of energy and once she had modified it, she could use it for her own purposes, and eliminate the threat that Alaric represented for them.
If this part of Lilith's energy knew right now that another idendical dagger had appeared on the other battlefield, she wouldn't have been so eager to try to get it.
But as Lilith had split her energy to strengthen some of their best superior Demons, these energy parts were not as powerful as the original one and so she was not omnipresent like the real Lilith who was still attached to the Demon Lord.
...........
Spartia world 1.01
In Hellfire, the domain of the Demons, Lilith was following both battles through her energy parts.
