There being an inside to self-modelling systems bound in space and time is the hard problem.
> The question "why is there experience?" is exactly akin to "Why is there an interior to four walls and a roof?" The interior isn't a separate thing; it's necessarily constitutive.
That's given from three dimensions of space. This is not the case with subjective experience. Functional and physical terms don't have an inside where experience lives. It's what makes the p-zombie argument potent.
Let's put this another way. Functional terms are abstracted from experience to model the world. See Nagel's What It's Like to Be Bat paper on science being a view from nowhere, which is really about the fundamental objective/subjective split. Or Locke's primary and secondary qualities.
You can't get experience out of abstract terms. Experience doesn't live inside abstract concepts. We can model the world with them, but experience was left out at the start.