JBroadway said: "You are correct that LCT was also a producer on the show (to an extent wherethey had LincTix available). At this point, I think it's less about who has the finances, and more about restructuring / delegating producer responsibilities. But to your point, maybe you're right that LCT can take the lead on this.
I don't actually know how it works with a co-production like this, because Mockingbird was seemingly a commercial production, but it was co-produced with a non-profit. Could a non-profit company take over as lead producers on a for-profit production? It seems like there'd be some sticking point there, but again, I don't know enough about how these things work behind the scenes."
LCT had a co-producer credit on the show but I have no idea how much money (if any) the organization invested in the production.
LCT (Andre Bishop or Adam Siegel or whoever) could absolutely take over lead producing responsibilities. Or it would more likely be the GM, or Barry Diller, or someone else. Anyone could take on that role to be the new creative producing leader, whether they were involved with the production previously or not.
A lead producer usually receives a weekly office fee and/or an "executive producer fee," plus standard royalties. So with the assumption that Rudin has foregone those fees (but perhaps not the royalties), that fee would go to whoever takes on the role.