The "assuming it could be done" in my comment referred to "finding a way to force latent cells to release their viral load rather than remaining latent". I'm not an immunologist, but if there was a mechanism, it would probably kill the rewritten cells. Then the released viruses would be eliminated with anti-retrovirals.

If this same mechanism kept infected cells from remaining latent, eventually you would clear the virus.

So I don't know the answer to your question, but my answer was assuming an answer existed :)