Yes, many people who are diagnosed or self diagnose with Chronic Lyme don't have a history of having symptoms of lyme disease. It's just made on the basis of very questionable tests and misinformation on the internet. I'm talking about symptoms like Facial Palsy, rashes, swollen knees, and numbness. You can read about the symptoms here: https://www.cdc.gov/lyme/signs_symptoms/index.html. Late stage lyme disease antibiotic treatment fails in the regard that symptoms like pain and fatigue can persist afterwards, 10% to 20% of the time or more. That's what Chronic lyme or Post treatment lyme disease syndrome is. Short term antibiotics will effectively treat the other symptoms though. You also can't say that Chronic Lyme is definitional of Late Stage lyme given that we don't know the cause of Chronic Lyme, and they have different presentations. Even if you don't like the CDC, as far as I can see they aren't getting anything wrong in the information in their website. They acknowledge that some researchers think that Chronic Lyme may be the result of a persistent but difficult to detect infection. They also may underestimate the time that it takes to recover from Chronic Lyme, but besides that the information seems legitimate. If you want another source you can read the page from the Open Medicine Foundation: https://www.omf.ngo/what-is-lyme-disease/. If you want to spread questionable information on the internet, at least give sources for it.