This is why I dont particularly like chest shots, its not theoretical its purely practical and it actually happened to me, its not a “ what if “ scenario.
Mostly I shoot sika in sitka and probably 2/3rds of the forest is now clearfell or replanting of varying age. Chest shots are great in the sense that you can be certain the deer is dead, but you can also be certain that you'll never see it again.
I had an interesting demo of this quite some years back when I chest shot a sika hind in the snow. I took the shot because of the snow as she was close to some replanting, with the trees maybe up to 8 - 12 feet tall at the time, but with snow I was certain I'd find her. I did find her so the following comments are enabled by hindsight. The shot broke both her shoulders, when dragging her out I was concerned I might pull her legs off, both of them were completely destroyed. Out of interest, once she was recovered, I went back to the shot site and spent some time looking for any sign of a hit as the snow should have made this a simple task. Apart from the tracks in the snow made by her feet the only evidence of a hit I found were a few hairs at the shot site, I can't even be sure they came from the deer I hit and we aren't talking about a clump of hair, we are talking about 2 or 3 individual hairs which stood out against the snow. Under normal circumstances only internet forum experts would have found the hairs, never mind knowing they indicated a strike. Despite the destruction of her front legs the deer managed to jump a big drainage ditch and make her way into the replanting jungle, she made it about 30 yards or more into the trees. I could see that in some places she took the snow off the top of various hummocks and so can only guess that her legs were giving way and her chest was hitting the hummocks. Eventually the tracks simply stopped. I circled the area and couldn't find them starting again anywhere. So I went back to where the tracks stopped and started searching as there was simply no deer to be seen. As you'd understand when in forestry there isn't snow on every single square foot of ground, sometimes it settles on branches etc. Eventually I found that she'd crawled in under a branch with lots of snow on it and she had got into the vegetation (molinia mostly) beneath it and was completely hidden from sight, I was under the big branch a few times before I eventually crawled on top of her. Having the tracks in the snow I had an area of only a few square yards to search and yet it still took me quite a few minutes to work out what might of happened and find the deer.
I'm going to suggest that if you are new to shooting deer, especially, you need to consider your circumstances and ground and to adapt as necessary. The internet forums are full of people who have a secret shot, or a secret bullet, or special skills that mean their deer always go straight down. I've seen deer go straight down to a chest shot, I've also seen them look around and then continue feeding like nothing happened until they fell over. So I think everyone needs to consider their own circumstances carefully and keep in mind that there isn't one right answer, and you are unlikely to find the answer to the precise shooting situation you find yourself in on the internet. I would also suggest that the more determined someone is that there is only one right way to do something then the more likely it is that they've never done it in a range of different situations or had to consider the full range of likely outcomes.