If you were trying to create a radical fan edit of the OT where Han turns out to be Force sensitive, then you could use him dodging Greedo’s shot as an early clue to his Jedi-like reflexes. Of course, Han having the Force is the only way I can make sense of his point-blank dodge to begin with, cause there’s no way a non-Force user could dodge like that.
You know, I remember seeing both versions of this scene (the original and the 1997 version) as a kid, and I recall being very confused by the blink-and-you’ll-miss-it exchange of blaster fire that had been added. It happened so fast and looked so janky, I couldn’t really tell what was going on in that split second.