> but I just googled and it does indeed also mean relieving of the symptoms.

In that sense AIDS is also cured, but in my book it's not, because people with it have to take pills for the rest of their lives and those pills do have serious side effects.

The definition relates to a treatment not the disease.

In your example the question would be, does antiretroviral therapy cure HIV? It does reduce the viral load but not permanently, so no, its not considered a cure.

The answer might change with the treatment. Does a stem cell bone marrow transplant eliminate HIV? Yes, permanently as far as it’s known so HIV is “cured” in this case.

That agrees with the point I was making. They are clarifying that this doesn't make the disease go away, but it sufficiently treats it to the point where it would have little to no effect.

So it's a cure for some definitions of cure, but not all