No George. I want Solo to be the kind of person who has no qualms about saving his own skin, even if it means shooting someone under a table to finish a fight before it happens, so that when he basically "takes the money and runs" you have that thought in the back of your head that he really might have taken off for good. Him dodging a bullet and shooting back doesn’t give him the same moral ambiguity and ultimately makes his return at the end less meaningful.
On a side note, does that line mean that George considers Indiana Jones a "cold-blooded killer" because he shot the swordsman first in Raiders?
Don't like what he's doing? Walk. Away. And take your money with you.