AEsir holdings can't renew whatever properties they have, and by the time the final Rebuild EVA comes out, AEsir's rights to Evangelion might have expired.
No, when everything transferred from ADV to Aesir Holding. They have most of ADV's titles, they just recently released a few things. Princess Tutu 1st print was in 2009, 2nd print from AH was in 2011, Magical Shopping Arcade Abenobashi was in 2007 and then in 2012...yeah, they STILL have Eva, and why would ADV let it expire? It was one top selling titles, they're not going to let Funimation grab anymore of their titles that made them money (they're just won't do a print run unless it needs to happen, it would be a waste of money when there is a lot on the market). They'll mostly do a print when it's about to expire, which is what I think they did with the other titles. So I'm going to hope they reprint Jing the bandit king soon