I was fatigued, had unexplainable chest pains some of the time, had problems concentrating, headaches, always a runny nose. I never did a antibody test because I self-isolated for most of the time and never met people without a mask, so I initially thought I was just developing an allergy. Multiple doctors tried to find out what was wrong but all tests where pointing to me being very healthy.
Then I got my second mRNA shot in July and all those symptoms went away, like magic. Very weird for me and maybe I had long covid and what you described happened.
Also it's all a maybe. I don't know if I actually had long covid. It's all speculation on my part by correlating events.
AFAIK, there is currently no scientific evidence supporting the idea that mRNA vaccines uniquely "treat or cure long COVID" through other mechanisms.
[1] Brain imaging before and after COVID-19 in UK Biobank https://www.medrxiv.org/content/10.1101/2021.06.11.21258690v...
[2] Brain Imaging Use and Findings in COVID-19: A Single Academic Center Experience in the Epicenter of Disease in the United States http://www.ajnr.org/content/ajnr/41/7/1179.full.pdf