Where did you come up with this theory? Pardon me, but it is riddled with ignorance about the disease...
1: 'AIDS' stage takes approximately 8-10 years to show up, not 4. Believe me when I say that if you were even in the symptomatic HIV stage (7-8 years after clinical latency) you would be sick, very sick. You would have random severe sores that would not go away normally, thrush, significant weight loss, hyperhidrosis, frequent fevers, body aches, chills. Once you have AIDS you would have frequent, sometimes severe fungal infections, severe weight loss, rashes, and the inclusion of diseases like Karposis Sarcoma (cancer), TB, etc.
2: If there is any doubt in these rapid tests, it is due to taking it too early despite its purpose. The test you took is considered the ultra rapid test, and is supposed to detect antibodies faster than 2nd and 3rd gen tests. Fast meaning within weeks of exposure. Antibodies are 99% detectable at around 3-4 months... tack on 3 years like you said and it is extremely improbable that the test would give you a false negative. The only time antibodies no longer produce in relation to the disease is around when your CD4 count is near 0 and you are about days away from dying...in other words, you would be so sick right now that you would not have even been able to write this question. Also, no, Autoimmune Disease can not eradicate HIV antibodies. Complete and separate issue.