  The role played by quantum discord in mixed-state computation is widely
debated since, in spite of evidence of its importance in creating quantum
advantages, even in the absence of entanglement, there are not direct proofs of
its necessity in these computational tasks. Recently the presence of discord
was shown to be necessary and sufficient for remote state preparation for a
broad class of quantum channels [B. Daki\'c et al., Nat. Phys. 8, 666 (2012)].
Here, we show that this property is not universal. There are states whose
discord cannot be considered as a quantum resource, since it has been produced
locally, that are useful for remote state preparation, and there are bona fide
discordant states that are of no help.
