If the only way you can get consistent accuracy from a rifle is by swabbing between shots, I think when hunting I would still swab. Granted, there are rifles out there that shoot on a clean barrel and even on a fowled barrel close enough that it makes little or no difference. But if your rifle is not one of them, like my Knight Disc... you have a problem. I would take that few minutes of time to swab it. Give yourself time to calm down, think out your last shot and what happened, decide on your new direction of travel, note landmarks, etc as you swab and reload. For now you know the second shotshould be as accurate as the first was. As for damp patches, a simple zip lock bag with them in, is easy to carry. Snap a rubber band in the middle, one side damp, one side dry. After all it is not like you need to carry a hundred of them.

Here is my outlook on this. Let us say you shoot and do not score what might be considered a great hit. The deer/elk/woodchuck/ what ever runs off. Most hunters I grew up with used to tell me, do not chase right after them. Give them time to react to the hit. But in your case, you shove another bullet down the barrel knowing there is a chance for that load not to be as accurate as your first. So your going after a wounded animal that will be in flight mode and probably be watching for danger, your shot might be a moving shot at the animal, maybe even some distance to it. And you're not sure of your rifle's accuracy, all because you would not take a few minutes to calm down and swab the barrel? I guess I disagree.

Now if you can work up a load that shoots as well shot to shot, then by all means reload ASAP. But if your rifle is one of them that is not of that breed, you have to consider your options.