Yes, the symptoms of long-Covid and CFS (chronic fatigue syndrome) are indeed similar in symptoms and etiological trigger (i.e., infection). A portion of long-Covid patients are diagnosed with CFS in several studies (links below). And I'm glad you have recovered now.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7852482/

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9426365/

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8227652/