I think some people are so desperate, to see what is causing thier illness they will jump online and search online, and of course lyme,MS,parkinson is the top searches. Chronic Lyme believers will automatically assume everything is related to lyme, after they go through antibiotics course, but the llmd don't stop there. I do here that llmd , says they pay more attention to your problem, because you paid like 400-1200$ on the first visit. They have to keep you coming back, otherwise a one time payment/treatment will push them out of business really quick, they will try to say you have this or that on your blood test, that are unrelated to your supposed lyme disease, At least some of these doctors may recommend you see a specialist (rheumatologist, neurologist). I looked on yelp on LLMD/ND in my area, apparently one of them is part of the llad(a questionable organization), has some reviews that immediately confirms my suspicions: he constantly tries to push/advertise products onto you, or he is unusually resistant to any "outside doctor" consultations. Mentally, people feel better when they get some assurance from their doctor, because mental health is just as important to your overall health. I think its a good idea to go on abx to see if it will do anything, if it doesnt it probably is not going to help to continue. i have a feeling that the controversy behind chronic lyme, has become somewhat of a cult(chronic lyme believers and thier llmd).
even the doctor who discovered lyme disease, was threatened with violence for things just like this. Hopefully you can explore more options, as well. sogrens is not the only autoimmune out there that can cause PN.
lab tests outside of the llmd, will not be recognized as an official lab test. Furthermore, most of the chronic lyme patients, dont even believe in thier accuracy of thier test anyway, so it was pretty much of waste money. I think most llmd will only see if you have an IGENEX test, and will only reccommend something like igenex.

the second link is problematic, because its basically only testimonials, where is thier experiments, or tests?methods results, use of controls. when your dealing with scientific research, you must have some kind of experimentation done, such as scientific papers being published on scientific journal it seems like they were funded to say that. i think lyme and neuro issue has already been established. autoimmunity is slightly trickier,because we dont even know how most autoimmnity works, to begin with.