I agree, it could be a nonlocal storage thing done by the brain and retrieved by the brain, but not 'in' the brain.
I've found different groups of people with different types of bias, and I try to not fall into any of these categories, although not always successful:
Those who want to disassociate the brain from anything important, quoting old experimentation that has been shown to be not as reported, those who want to reduce anything that 'smacks of' consciousness to chemical processes and only that, which I find equally disingenuous for other reasons.