Chickens can also be cultured with melon seeds and pumpkin seeds.
Linked issues
Comments 6
Update notes for 12w36a only say "seeds" and do not specify a certain type of seeds in the notes. This appears to be intentional.
Reopening as I've found an inconsistency that you can breed chickens with melon and pumpkin seeds but not lure them.
This ticket has been marked as a duplicate of MC-9164, in favor of the better description/information provided.
I think this is not a bug