I've had some pairs where either parent is the main incubator, and others where they both sit tight. Either is normal and fine as long as SOMEONE is doing it.
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Cockatiels:Battle, Sniper, Jackie, Honi
Blue Headed Pionus: Mel
Green Cheeked Conures: Flick, Cache, Titan
Indian Ringeck Parakeets: Blue, Kamehameha, Ka'iulani, Kahili, Shadow, Ali'i, Noni, Pono, Smokey, Hapu'u