I don’t know how else it would work. But I also don’t know how it could work in the first place, so that doesn’t tell us much. Omega doesn’t (as far as I know) actually exist, so “it doesn’t work at all” is a justifiable answer as well.
There’s only so much you can learn about the actual universe from thought experiments.
How else would it work? Where is the decision going to come from that Omega can’t see?
I don’t know how else it would work. But I also don’t know how it could work in the first place, so that doesn’t tell us much. Omega doesn’t (as far as I know) actually exist, so “it doesn’t work at all” is a justifiable answer as well.
There’s only so much you can learn about the actual universe from thought experiments.