Currently my understanding is that this paper is claiming that "concepts" are a fundamental building block of experience (which relates to consciousness), and can only be built by a mapmaker which is something that directly converts continuous physical phenomena into discrete tokens. But I couldn't get further into how that related to consciousness.
EDIT: the paper seems to be assuming that something simulating a mapmaker, or the process of doing it, can by nature not be a mapmaker since performing alphabetization is inherently something that must be "instantiated". How do they confirm if something is doing simulation vs if it's actually instantiating it? How can you tell the difference? They say how, much like simulating photosynthesis will not produce glucose, simulating mapmaking won't produce concepts. But you can't measure concepts, they're intangible, so you can't differentiate simulating mapmaking vs a real mapmaker.