I don't see how he said that science can not investigate consciousness, or why you feel that way. I also don't quite follow your hypothetical situation. You are observing through an EEG the electrical activity of an individual's brain, mostly the outer cortex. You ask them to recall a telepathic experience, and hypothetically see "a spike or something". How do you explain the activity you are observing? It would be important to note how this activity is different from the brain's typical activity, how long it was sustained, etc. It would also be important to acknowledge that EEGs are not appropriate tools for this sort of task, and that an fMRI would be a better choice in order to determine which functional areas of the entire brain are showing the activity. Once you know the function, you can explain the activity. "Oh, they are showing activity in the hippocampus as they are recalling the experience" or "Look, his auditory cortex is active, he must be thinking about something to do with sound". You can't just say "Oh I have no idea what that is, therefore I found the neurological basis of telepathy" without adequately investigating the claim and providing support for it.