I believe that if we would carefully apply the distinction between transparency and opacity to the different layers of the human self-model, looking at self-consciousness in a much more careful and fine-grained manner, then we might also arrive at a new answer to your original question: What a "first-person perspective" really is.
Thomas MetzingerAs a first-order approximation, I would say that phenomenality is "availability for introspective attention": Consciousness is a property of all those mental contents to which you can in principle direct your attention.
Thomas MetzingerI could never understand how someone would embark on their life without having first confronted and clarified the truly fundamental questions.
Thomas MetzingerWhat many people don't see is that there are abundant examples of phenomenal opacity: It is one of the most interesting features of the human conscious model of reality that, first, it can contain elements that are not experienced as mind-independent, as unequivocally real, as immediately given, and second, that there is a "gradient of realness" in which one and the same content can be experienced transparently or in an opaque fashion.
Thomas MetzingerThe Ego is a transparent mental image: You, the physical person as a whole, look right through it. You do not see it. But you see with it.
Thomas Metzinger