Scenario B is the most common scenario in that you shouldn't have to be worried about stepping on nails or tripping over things if you go to your local ikea.
Scenario A is more state-by-state, but at least in my state (Georgia), you can "imply invite" people onto your property for something as small as having an opening in a fence on your land, or a beaten pathway that seems to be frequented by dirt bikes - this is why 'no trespassing' signs are commonplace, so that you know that the property owner does not invite you onto their land and thus any injuries are at your own expense.
But, since this is about Wyoming, let's see...
https://law.justia.com/codes/wyoming/2016/title-34/chapter-1...
As a non-lawyer, I'd say they have no liability. As a landowner, I'd never personally chance it, but I would see if I could give a 6' portion of the land to the state/federal government.
However, "attractive nuisance" has gone pretty far, at least here in California.
edit: I think the parent commenter edited their comment, but I'll leave mine as-is.
If it can happen when a thief breaks into your house and breaks his leg.. it can happen in the woods.
Of course: depending on state, etc.
People who live in rural and semi-rural areas in the US are mostly pretty chill in general with people respectfully using their property, especially at the edges, in my experience.
This is a non-sequetor and is most cettainly false.
A house is hypothetically meant to be safe, woods are not - you could be eaten by a bear.
But this is definitely one of my pet theories as to the litigiousness of America - healthcare is exceptionally expensive and in theory someone gets stuck with the bill, so when someone (especially someone without insurance) gets injured the game begins.
I saw it personally on an uninsured friend who's arm bones were broken into pieces by a car wreck through no fault of his own. He was put back together pretty well, but to the tune of tens of thousands of dollars.
There are other reasons to sue for injury, but it would be nice to think that they aren't so the injured person is able to escape bankruptcy from medical debt.