lw, I'm gonna assume you're not trolling here.
I've had POIS for 20+ years. At least half my life so far. I've been through a vast range of emotional and psychological states during those years, including a period of depression, during which I took Cipralex. I've also had long periods of happiness and contentment. POIS was present all the way regardless of my overall state of mind.
Additionally, like a lot of other people here, I get cognitive problems as part of my symptom set after triggers such as orgasms and exercise. These include OCD and autism-like symptoms like aversion to eye contact, diminished social skills and noise sensitivity.
Now, imagine going to a psychiatrist and saying: "Hey, I'm autistic and I have OCD, but only some days. Other days I feel normal and function perfectly well." That is way out of scope for them AFAIK, if they even believe you.
Another thing to consider: A lot of people are having aftereffects of Covid-19 that resemble POIS. Would you recommend those people go to a psychiatrist as well?
IMO this is clearly a complex multi-system issue with no easy answers, especially as each case is different. However lw, if you're having success with a psychiatric approach, I'm genuinely happy for you and wish you continued success.