Sure, the view that volition is an illusion is not self-contradictory. And I get that this is a very useful view, because it lets us set aside "conscious inner experiences" and just analyze the mind as a deterministic machine with inputs and outputs. This lets us expect to eventually understand the mind/brain fully using only the physics and computing tools we already have.
Now it leaves conscious experience itself as an unexplained phenomenon, but maybe that will never become important.
I take the word "illusion" to mean, some type of experience which misleads one about reality. And "consciousness" to mean, the experience of having experiences.
So I parse this claim as something like, "People both do not have conscious experiences, and also do continuously have a particular type of conscious experience: a misleading experience which leads them to believe they have conscious experiences".
Yet I see this claim made seriously and often. What am I missing?
"Everyone" doesn't vote all-red or all-blue. 30% vote all red, 30% all blue, and 40% stay home because there is never a sensible centrist candidate. Each of the 30% active voters then get mistaken for 50% of citizens.
Now it leaves conscious experience itself as an unexplained phenomenon, but maybe that will never become important.