well I have a different view here>
in many places its illegal to track game that runs on to others land
so, many times I have hunted some smaller parcels where if I jumped a wounded deer even ONCE before it died, it could be on lands I could NOT recover,
I always try my best to have friendships with adjourning land owners and most places I do, but also have coup,ke places that there animal rights nuts and they will NOT let you recover even a DEAD deer, I have gone down the road of getting wardens involved, and others that known the land owners well(good relationships with them) and ended up loosing a deer
and was a pretty darn good hit, just one of them deer that RAN till it dropped and ended up un recoverable, and still stings today knowing what happened there!

I have killed hundreds of deer with all weapons, from 50 BMG down, I have seen a doe once get hit thru both front shoulders with a 750 grain soft point from a 50 bmg, and it was ON video, run over 250 yards, when we got to her you could have thrown a football thru her and NOT hit any part of her
SO I DON"T buy the "X" caliber, or shot placement(minus maybe a brain shot) will drop em ALL the time, as I seen too many cases where things didn;t work as planned

SO< some times there is a decent reason to NOT track right away.
Just saying

many hunters are NOT the best shots or trackers, so many prefer to gamble I think on waiting if they don;t see them go down that risk loosing one they cannot track if they push!

NOT all places are dog legal to track either! or do hunters have access to one that can!

I have recovered deer that had traveled well over 2 miles after being hit and NOT pushed at all, waited till the following day to HELP track them
a dead deer will be there next day or it won't
a pushed deer can be LOST just as much as one being eaten by a predator!

NOT saying wait ALL the time, but if your NOT confident in your shot or afterwards
waiting IS the better option! IMO