Owlgrowler,
I agree 100% on some gut and liver hits going a very short distance before stopping. I was just simplifying for those that may not have dealt with such a hit. Meaning, if you don't push them, they won't go far.
This thread is hopefully to help others learn from our experiences and mistakes. Sadly, most people learn about how to properly track a liver hit from first losing deer to a liver hit.
Like you, I've had liver hit deer go maybe 50 yards and just stand there, then very slowly move off. But one still has to leave the stand or blind.
But for those who haven't dealt with a liver hit, Owl's description is more exact and he is spot on about deer sometimes stopping within sight on such hits.