It doesn't matter. The logic seems unassailable to me:
1. Our brains are physical systems that respond to physical events.
2. Cognition and consciousness are hard to explain, but both go away when the brain goes away.
3. Physicality doesn't cease to exist when we stop looking at something, or stop being conscious. Wheeler & co like to wax poetic about consciousness altering the whole universe when it's observed, and it might - but that doesn't mean it doesn't exist. This is easy to prove: our planet has a geologic record that's mostly consistent from far before humans ever existed - in fact before life itself existed. Therefore, we didn't 'will' the whole universe into existence just by becoming conscious.
4. Consciousness doesn't seem to alter quantum events at all. Measurement does. You can have a computer or sensor measure something, and it alters accordingly (like the wave/photon delayed choice experiment). When that measurement is done by something conscious (like us) it happens the same way:
Measurement in quantum mechanics - Wikipedia
5. Just because consciousness is a hard problem doesn't mean it isn't a physical process. There is no explanation driving it out of being a physical process except that it's unexplained as a physical process. Inventing new universes where the problem is solved by the definition of those universes doesn't actually answer anything, because now you need a tie between that non-physical universe and ours that isn't measurable by anything except our brains.