I'll offer a lil different perspective on the topic.
I track on leash for several reasons.
1. Most of the places I go are small tracts of property and it's easy to get off the property we are on.
2. I do track on a wma where I have to be in leash and only in the daylight. Which is aggravating because it's a lot easier to bay one at night.
It sucks getting drug through briars and privet by a 55 lb black mouth cur 40 foot in front of me when he gets to rolling after one. It does making bays on brisket and leg shots difficult cause we can't run them down. Most of the bays that we end up with are usually several hours old and the deer is sick enough to not break and run and if they do it ain't far. As for whose deer is it or if you shoot your hunting crowd. I AM THE ONLY person that is gone shoot over my dog and that ain't open to negotiation. Most hunters have never been involved in baying a wounded deer and things can get kinda western and you have to be careful and pay attention and not get excited. And the last the thing I want is a excited hunter waving a loaded gun around me and my dog trying to kill a deer they boogerd up to begin with. More hunters are using dogs for recovery of deer which is fine even with good shots. I use my dog in every deer i shoot. It is understood before we ever start on a track that I carry the gun and I use the gun but it's still your deer. I have tracked them shot from the rooter to the tooter by young and old and all in between. My dog will usually tell me withing first couple hundred yards if we gone recover or it ain't dead. However I tell every hunter I track for when I come out 1 of 3 things is fixing to happen either we gone load it up, it's where we can't get to it ( off property, bottom of a pond etc), or when I leave we all gone be satisfied that the deer ain't dead.
In the end what we are doing is a service and I can personally say I have put some in the tailgate that would not have been recovered without a dog. I have made some folks sleep better at night cause they know they didn't kill it.
In closing I feel like as hunters and outdoorsman we owe it to the animal we hunt to make every attempt to make a clean ethical kill and when that don't work and you booger one up we owe it the animal to make every attempt to recover it. Weather that means we finish it with a bay or find it already dead.
I hope dano gets in here on this topic.