I went back and reread your original comment, and I may be a bit confused.
You state that issues are cognitive but then go on to discuss how psychedelics break down barriers. Psychedelics are drugs, one of the best ways of showing that out cognitive processes are determined by our neuronal chemistry.
Considering a traditional psychedelic like 4-HO-DMT or LSD, these compounds have activity at a few different serotonin receptors (and some other side interactions). This pharmacological activity (interaction of an external compound with our internal biomolecules) is how psychedelics alter our cognitive processes.
From my perspective, this shows how our cognitive processes are biochemical and using a drug can change it easily whereas other means are more difficult such as external sensory inputs (therapy, talking to people, reading, aromatherapy, massage?)
I entirely agree with the usefulness of psychedelics, they are massively powerful tools. They're great at helping catalyze significantly alterations in our thought processes, but these changes that they help induces are chemical and structural (structural such as changes in synaptic connectivity)
Structural changes between neurons are directed by chemical signaling as well.
If the changes that fix the problem are biochemical, the problem was biochemical. We alter the biochemistry and they induce changes in the emergent properties of the overall system: behavior and thought processes
Our thought processes and behaviors are the product of our brains (and some signaling from other organs, mostly the brain though) and even minor changes in certain areas or with certain regulatory mechanisms can have profound impacts on mental health.