"Participate" and "participation" can imply passive or active states, so it is largely a matter of semantics and intended use. We participate in the union of Christ not actively, but passively, that is, we invest nothing and take part in, or partake of, all the benefits.
And don't forget, the idea is to contrast the meaning behind effectuate vs coordinate as well as cooperate vs participate in terms of monergism vs synergism. Everything in context. Otherwise, we get to defining what "is" is.
Thanks for the dialogue