Earlier quoted context omitted.
It's actually due to both (for different DM particle masses). https://physics.aps.org/assets/0ce5ba95-0367-46ce-890b-de3a4... (which is from https://physics.aps.org/articles/v14/96 )
This is absolutely correct, as there are no solar neutrinos with energy above ~20 MeV (but below that, the solars dominate). Thanks for the clarification.
This process was first observed only fairly recently, at the Spallation Neutron Source using neutrinos from stopped pions. IIRC, they realized a service corridor under the target room would be unintentionally suitable for the experiment.