For example, if I'm imagining a room full of people, I'll have a mental model of everyone's positions in the room, which I'll then update if the story mentions that someone is stood at the left of the room and I'm imagining them at the right. However, I don't have a picture of the room in my head while I'm doing this, there's no image of where the people are stood - it's just something I 'know'.
That's very strange. I don't see how you can keep track of their positions without visualizing the room and labeling their locations visually in at least some rudimentary way. I would honestly be very surprised if you actually kept track of every visual detail verbally. Barring this bizarre possibility, It seems to me like your visual cortex is processing the "picture" but for some reason you aren't experiencing it directly...
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This is just an educated guess, but to me massive parallel search feels very unlikely for human intelligence. To do something "massive parallel", you need a lot of (almost) identical hardware. If you want to run the same algorithm 100 times in parallel, you need 100 instances of the (almost) same hardware. Otherwise -- how can you run that in parallel?
Some parts of human brain work like that, as far as I know. The visual part of the brain, specifically. There are many neurons implementing the same task: scanning an input from a part of retina, detecting lines, edges, and whatever. This is why image recognition is extremely fast and requires a large part of the brain dedicated to this task.
Seems to me (but I am not an expert) that most of the brain functionality is not like this. Especially the parts related to thinking. Thinking is usually slow and needs to be learned -- which is the exact opposite of how the massively parallelized parts work.
EDIT: Unless by massive parallel human intelligence you meant multiple people working on the same problem.
I'm not an expert either, but from what I've read on the subject, most of the neocortex does work like this. The architecture used in the visual cortex is largely the same as that used in the rest of the cortex, with some minor variations. This is suggested by the fact that people who lose an area of their neocortex are often able to recover, with another area filling in for it. I'm on a phone, so I can't go into as much detail as I'd like, but I recommend investigating the work of Mountcastle, and more recently Markram.
Edit: On Intelligence by Jeff Hawkins explains this principle in more depth, it's an interesting read.