My hubby is an AVID archery hunter...okay, OBSESSIVE archery hunter. He credits his success in the field to unscented everything on his body - soap, lotion, shampoo, etc. He also washes his hunting clothes in washing soda only; no detergent, no fabric softener. Then he takes it a step further and limits his diet to no spicy food, no garlic, no onions, etc. Basically nothing aromatic that he might sweat out or exhale off. Keep in mind he's a bit of a fanatic about it because he has to get within 80 yards of the animal.
His friends that are rifle hunters aren't nearly as obsessive as he is about scent (because they're several hundred yards out) so stick with either unscented or lightly scented soap. For those guys I make soap with juniper berry, rosemary and/or pine EO's at about 0.5 oz in 36oz of oils (less than 2%).
Dixie has the right of it too, we don't really know how wildlife perceive scent. Someone in the veteranary field once explained how differently animals smell things compared to humans. He used the example of chocolate cake. People smell only the yummy chocolate cake. Animals smell flour, sugar, eggs, butter, cocoa, etc. I have no idea how accurate that info is, or if it pertains to all animals, but it sheds an interesting perspective on it. So when I think of that story I always wonder if they break down the scent of any fragrance into it's components which may end up being ambrosia or the most revolting thing ever. Even though the soap is unscented, do they smell olive oil, coconut oil, sodium hydroxide, etc? I have no clue! So I just use as few ingredients as I can and hope for the best.