dnd 3.5e – Do the Psychic Strike soulknife class feature and the Greater Psionic Shot feat work with the Manyshot feat?

Can the Manyshot feat work to allow you to apply the Psychic Strike soulknife class feature and the Greater Psionic Shot feat to all the arrows?

The hang-up is that you are creating 3 arrows so you charged one arrow… but now all of a sudden, you are doing 3 at once with the exact same attack roll.

The players think that yes, it applies to all 3 arrows for everything. But I’m not certain how this all works, as the two abilities were written with them only working with one single attack at a time.