Are staple crops the bar though? Like, I love rice, wheat, and potatoes, but I would be real sad to not have all the vegetables that are not wind pollinated. We've survive, but I don't think that's the bar, imo.
"The flowers are wind-pollinated, with over 99% of pollination events being self-pollinations and the rest cross-pollinations.[6] "
No mention of ants, and the reference [6] says "Normally at anthesis, the lemma and palea are pushed apart temporally (lasting for 8–30 min) by lodicules swelling, and the pollen dehiscences from anthers and falls on the ovary to accomplish fertilization (de Vries, 1971)."