All eyes were once again on Lex. As an outsider, besides the backing of someone powerful, Lex needed something concrete to remain relevant as things progressed. One way or another, he planned on figuring out the reason for the anomaly from the group gathered here. Also, yes, it would be nice if they can save the realm, thereby ensuring the continued existence of trillions of living beings or perhaps even more.
But life would not end once he completed those tasks. He would continue with his other endeavors, and his connection with the Crystal realm would also continue to persist. In that case, the best case scenario would be if he used this current opportunity to build a strong relationship with these people.
But building a relationship wasn't enough. He had to make it so that they would be the ones to consider him an important contact to have. Having the solution to a destabilizing realm was one of the ways he planned on achieving such an image.