I like it originally, and that's how (In my mind) it plays out every time... I just ignore the SE, though that is the "Canon" way of things and I'm just being stubborn in my way of thinking.
With that said, your idea is better than what it is now Muftak, so it'd ease the pain somewhat. I maybe would "accept" it a little better.
Still, I enjoyed Han as a murderer... He's ruthless, and willing to kill before there's a chance he'd even be in legitimate danger. I like that he really does redeem himself under that story pretense, but as it is now he's just not as "bad" as he was before.
So, I'll still always just imagine Han frying Greedo like a punk before he could take him to Jabba to talk his way out of it.
It was so much better that way, but alas Lucas has been wussed out in his old age and worries that his kids will have nightmares about the Brocolli man being shot by "Uncle Harrison".