Brood Parasitism - Parasitism/Ammensalism/Commensalism?
The cuckoo chick hatches earlier and instinctively pushes the host eggs out of the nest. If you view this from the genetic perspective of the crow, it becomes the foster parent of offspring that does not carry its genes. The harm, therefore, is to the host's passing on of genes, rather than to the immediate health or well-being of the individual.

For more information see:


Brood parasite (Wikipedia)
The Ecology of Avian Brood Parasitism (Nature)