> Any engineer can tell you that a measurement is meaningless without tolerances/margin of error, and the tolerance in effect when putting up a fence is not expressed in a microscopic scale.
But these locations are very precise, indicating high accuracy/low margin of error, but they don't have that high accuracy. In fact, the error could be in meters, rather than in the implied millimeters, so it definitely could be a problem for a fence.
Here is a college textbook chapter detailing types of precision and accuracy errors in GIS systems: https://www.e-education.psu.edu/geog469/book/export/html/252
"GIS users are not always aware of the difficult problems caused by error, inaccuracy, and imprecision. They often fall prey to False Precision and False Accuracy, that is they report their findings to a level of precision or accuracy that is impossible to achieve with their source materials. If locations on a GIS coverage are only measured within a hundred feet of their true position, it makes no sense to report predicted locations in a solution to a tenth of a foot. That is, just because computers can store numeric figures down many decimal places does not mean that all those decimal places are "significant." It is important for GIS solutions to be reported honestly, and only to the level of accuracy and precision they can support."
Or in other words, don't build a fence relying on naked coordinates of high precision but unknown accuracy.