It definitely doesn’t, not according to the dictionary anyway.
As an aside, I think you may be underestimating how large American homes and properties can be, it’s not Europe scale. 5 acres really isn’t all that large.
What matters is how people here would interpret your statement “camping in my backyard”. I think most people here would interpret that as “too close for comfort”, not “somewhere within my 24 acre lot”. Therefore, your statement is misleading. Ergo, FUD.