Emitting an antiparticle is (in Feynman diagrams at least) the same as absorbing a particle. IIRC, for neutrinos the anti aspect isn't that important because th

Emitting an antiparticle is (in Feynman diagrams at least) the same as absorbing a particle. IIRC, for neutrinos the anti aspect isn't that important because they don't quickly annihilate with regular matter and they have no electrical charge. I even seem to remember that the most commonly produced neutrinos are antineutrinos (so the anti aspect is more fundamental than a convention for each particle type).