Are homozygous carriers of the CCR5-Δ32 allele fully immune to all known strains of HIV?

Question

Or is there documented evidence of even one homozygous carrier contracting HIV and staying infected?

Answer 1

I believe that only strains that utilize CCR5 protein to enter white blood cells (M-tropic) would not be able to infect these carriers. So, T-Tropic strains which use the CXCR4 protein to enter white blood cells would still affect these homozygous carriers.