What is the rationale for using T4 DNA Polymerase with and without a DNA polymerase Klenow Large Fragment for creating phosphorylated blunt ends? It seems only cloning protocols call for the addition of Klenow, while NGS library preps (which I'm doing) do not. I'm starting with mechanically sheared DNA. Klenow polymerizes 3'-5' while T4 polymerizes 5'-3', but since I haven't ligated the Illumina adapter yet, I don't see why Klenow is necessary.