This will lead to a lot of premature stoppages.

Leave the way it is. If a hurt fighter can continue, let him continue. If he fights and survives? So be it. If he ends up getting pounded more, let the ref jump in and stop it...like he always does.

I've NEVER seen a fight where a fighter suffered serious injury after a being allowed to continue from a knockdown. The ref always jumps in to stop the onslaught in a timely manner.