What's your approximate percentage of recovery with either method?
I have only lost one deer, and I believe it is because I pushed her. The blood trail was tremendous. You'd see where she would lay down for a rest until she either saw or heard me coming. Pools of blood. Until I came to the last pool. Not a drop of blood anywhere after that. Never found her.
Total rookie mistake my first season, but I was just doing what the other more experienced hunters who were with me did. I hadn't heard until later in the season that you should wait to track and the logic behind it.
I see your point though. And I move much more quietly than I used to, so I guess it could work either way.