I think these philosophical arguments boil down to answering the question "what is real?". Contemporary science is presented as an objective theory of reality, but our experiences form the actual starting point for everything that we can ever know about reality, so they ought to be considered real in some sense. The tension begins because, while a physical theory of reality will say that the signals in a brain are real signals, that does not imply the reality of any concepts that those signals may represent. If I imagine something, that does not make it real. But then the same can be argued for all experiences: there are real brain signals associated with them, but that does not imply the reality of those experiences. This lead to a gap in that the physical theory fails to imply, and thus fails to explain, the reality of experience. So, if I believe in the reality of my own experience, then I am left to ask "why is my experience real?", as that is not required or implied by the physical theory of reality.

It sounds like Rovelli's resolution is to acknowledge the centrality of subjective experiences to the formulation of scientific theories, and thus also to any theory of reality. Experiences are the starting point, with the rest being built up from them. Therefore, experiences should also be the first thing added into the bucket of things that one believes to be real. Meanwhile, any physical model of objective reality has a far more tenuous spot in that bucket. We may suspect it to be real through various deductions, but the further away we get from experiences, the more assumptions have to be made to get there. Anyway, I agree that there is no explanatory gap when reality is viewed in this manner. And this is a relatively palatable way to approach the question of reality (compared to, e.g., the mathematical universe hypothesis, which most find unacceptable). But as long as there is debate about what makes up reality and where experiences fit into that, the debate around the hard consciousness problem will continue, and I regard this problem to be of a different character (being far more philosophical) than, say, spiritualism or anti-Darwinism.