In case you aren't aware, there are a number of active clinical research trials underway demonstrating the efficacy of MDMA and psilocybin, under the support of the FDA:

https://maps.org/research/mdma

https://hopkinspsychedelic.org

In other words, these medicines are being explored specifically through the lens of public health policy. The question of their benefits being a statistical anomaly (when used in appropriate settings) is looking increasingly unlikely.