Actually the scent at birds is almost not developed. Generally they rely on sight. And anyway any bird for anything just like that won't refuse the baby bird. The myth is cast by feature of feathery parents to fly away from a nest in hope to distract attention to itself and to take away far away from baby birds. But even if this number doesn't pass, parents watch a nest from safe distance and as soon as the threat passes, come back to the baby birds.
Conclusion: the statement is false.