a bit of pain: the man is a friggin' moron. And a lecturing little nanny.
As I recall he's also a contributor to various gun bigot groups; reading this, you can see the tie-ins.
So Han was drawing his gun and expecting that Greedo would miss, then he'd pull the trigger? Even law enforcement shoots when they get the chance if a gun is being waved in their face, and I'm pretty sure that Solo is about as far from a cop as you can get without giving him a Thompson in a violin case.