I believe their reactions to the above are based on the behavior of the men..........woodcutters are not paying attention to a deer atall.........they are going about their business. A hunter is focused on the deer and they know it.
See....I see this just like people scouting during the season....shed hutning.....checking game cams...etc...
"I" think the deer don't differentiate. "I" think that ALL they know is......another 2-legger has been in their house. Don't matter "why".....or "what for". They just know he IS there.....or has been.
Just my opinion.......