Han shooting second makes him less like a cowboy. In a classic western shoot out, the villain generally draws first. Greedo drew first, and was holding him at gunpoint throughout the scene. In a western, if the villain shoots first, the hero gets shot. The villain draws first, so the hero has to react and draw faster to beat the villain to the trigger.
Right! It’s like George forgot what kind of scene he set up.
Greedo made it very clear he intended to kill Han at that moment, so Han took his opportunity to shoot first.
Another right! Han didn’t kill Greedo “In cold blood”, as George likes to say, he was clearly defending himself. Again, it’s like George forgot what was happening here.