One could argue that neuroscience should be methodologically behaviourist, treating such reports as observable behaviours only, and not as testimony about inner mental states. However, that is not, how neuroscience is actually practiced, or how most neuroscientists think

Thanks for your comments! I should give Lockwood's argument some time. However, I'd say that a dualist can countenance that the mind may exist in space, if it is nonetheless fundamentally mental, and hence something over and above the fundamentally nonmental stuff of physicalist ontologies