Broken root tip in old wisdom tooth site

I have 20 years of dealing with jawbone cavitations in all 4 of my wisdom teeth sites.  I am 38 and had all 4 pulled when I was 18.  I became gravely ill in my mid 20s.  Discovered by 25 that I had jawbone cavitation in all 4 sites causing digestive issues, depression, fatigue, and food allergies.  Had surgery done, but the dentist used bovine bone grafts which my body rejected at age 29.  At age 33 I had the surgeries redone.  All 4 healed with no grafts or antibiotics.  However I continued to have symptoms.  I tested positive for heavy metals so did chelation for 9 months with EDTA.  After last session I became pregnant and had a health baby.  My symptoms in my jaw persist as well as the head - facial tremors, weakness on left side of body, pressure in the skull and behind left eye, fatigue.  Thought it was just TMJ.  I had a splint made for night time wear.  Still no relief .  I went and had  CT scan which revealed a cavitation in the # 17 site.  Dentist did not want to do surgery.  I went to another dentist which did a digital xray and found a root tip deep in there near the nerve canal.  Talked to an oral surgeon who said it was good no one has tried to take it out and said that nothing was wrong with me.  Went back to the dentist that did the CT scan and showed him the digital xray.  He said that the broken tip needed to be taken out.  Talked to another old time dentist who said that it needed to be taken out.  My question is,  Why do some dentists recommend removal and others say my symptoms are caused by something else and that to leave the root tip in the jaw?  Does anyone have experience with this kind of surgery?  I would SOOOOO appreciate feedback as my health has been compromise for the last 20 years. ....DOES ANYONE HAVE EXPERIENCE IN ROOT TIPS STUCK IN THE JAWBONE AND THEN HAVING THEM REMOVED?  WHAT WAS YOUR EXPERIENCE?