The issue with Han shooting first is that it means he meant to kill Greedo, an idea that doesn't sit well in our modern, helicopter-parented society. Of course he shot first, it was never intended to be taken any other way. Lucas wrote it that way, because it was the 1970s and it was a space opera and you shoot the scaly green monsters. Duh. All that other stuff came later. Even scaly green space monsters are people now.
Thanks, Oprah.