Like any other odor precaution, we do the best we can and accept that we will have different outcomes from hunter to hunter. Our body chemists aren't the same, environmental conditions can vary from hour to hour, and the herd's tolerance for certain levels of human odor will certainly vary.
We can never become odorless but we can improve the situation.
Humans emit dozens of various odors and we don't really know exactly which of those human odors are the ones that deer may react negatively to.
Do deer react to the odor created in our mouth or is it actual lung odor? I don't think we really know which of our various odors alarm deer. I don't believe all of our odors are "equal" to the nose of a deer. And I'm not sure that our lungs actually produce alarming odor. I believe it's the actual mouth odor the deer may, or may not react to. If someone with "bad breath" breathes strictly out of their nose we really don't smell their breath like we do when that person breathes strictly thru their mouth. It's an oral hygiene thing, not a lung thing.
Oral bacterial growth is what causes odor so how do we reduce oral bacteria? Clean our mouth beyond just brushing our teeth.
Sure, brush well. Odors emit from the tongue as well so brush that too. Floss before each and every hunt. Rinse with hydrogen peroxide. I also use SmartMouth 12 hour mouth wash. And each of our tooth and gum structure is different. I can brush and floss very well but there are still some spots around my gums at the wisdom teeth that hold plaque. I use one of these gizmos to clean below the gum line.