The logical conclusion is that the brain makes me.
The logical conclusion under the popular axiomatic framework of materialism, for sure.
But there are other possible logical conclusions depending on your philosophical foundations, e.g. the brain could be a receiver for consciousness which is translated into our worldly experience from somewhere else.
Consciousness can be not-emergent but also not metaphysical, think sci-fi-type undiscovered physics or matter.
Of course both of those suffer from the recursive problem of just kicking the can one level up. But I guess that's fundamentally unsolvable so who cares.
For example temperature is an emergent property of matter, it does not happen on the map, do you agree? Assuming you do, what would it mean for temperature to happen "on the map"? (Obviously that's nonsensical so for a second here just don't think about what temperature actually is.) Would such a state of affairs not imply dualism?
Anyway even if you don't like the example I chose can you see the point I was trying to make? What would it mean for a quantifiable phenomenon to happen on the map as opposed to happening in the territory? How would it interact with the world (ie the territory)? Would it not necessarily imply dualism?
You can measure a derived value that appears on your map, but you do so by observing concrete things from within the territory. So in that case the quantifiable things happen entirely within the territory and (as you say) it is important not to confuse the map with that.
So when you earlier suggested that "Another alternative is that consciousness exists on the map" I'm asking what would that entail? How could consciousness exist on the map as opposed to within the territory? If it did, would that not imply dualism - that the map were in fact real?