An integral approach is based on one basic idea: no human mind can be 100% wrong. Or, we might say, nobody is smart enough to be wrong all the time. And that means, when it comes to deciding which approaches, methodologies, epistemologies, or ways or knowing are "correct," the answer can only be, "All of them." That is, all of the numerous practices or paradigms of human inquiry — including physics, chemistry, hermeneutics, collaborative inquiry, meditation, neuroscience, vision quest, phenomenology, structuralism, subtle energy research, systems theory, shamanic voyaging, chaos theory, developmental psychology—all of those modes of inquiry have an important piece of the overall puzzle of a total existence that includes, among other many things, health and illness, doctors and patients, sickness and healing.
A Super-Integral Spirituality has all the features of an Integral Spirituality, plus, among other things, an inherent conjunction of each stage with a given state, giving all of its stages a transpersonal or spiritual flavor (at least the possibility of either gross nature mysticism, subtle deity mysticism, causal formless mysticism, or nondual Unity mysticism). These mystical states are, of course, available to virtually all the lower 1st- and 2nd-tier stages, although there are likely some significant differences in 3rd tier, given its inherent conjunction of structures and states.