The correlation is with the antibody to HIV not HIV itself. So it doesn't matter what "virtually all" means.
Almost 100% correlation between HIV antibodies (meaning exposure of that individual to HIV) and AIDS and you say that isn’t a strong correlation?
Immune deficiency was almost unheard of until HIV was found in humans. Now almost all people with immune deficiencies are found to have HIV exposure. Strong correlation.
Simian Immune virus is closely related to H.I.V. and it causes AIDS in monkeys. Strong correlation.
Just how does one get antibodies to HIV again? Oh yes. Exposure to HIV. And what do virtually all AIDS patients have? Oh yes, evidence of HIV exposure.
Just what particular brand of nuttiness are you promoting by denying the clear and obvious connection?