Yes. That doesn't make it a spectator. The rock is a participant in the predetermined progression.
The "spectator mode" thing you replied to was a totally different concept, where the "mind" is some weird parasite to your brain and you'd walk and talk the same even if you didn't have a "mind". Which is quite a weird idea in my opinion.
If a rock starts moving in one tick, it affects other things in the next tick. Despite being deterministic, that rock is not a spectator.
So if the mind is a spectator, it's not for that reason, it's some other reason.