According to the authors’ own interpretation, variation of 2 arch minutes of heading per minute of time is enough to destroy the claimed effect. In other words, they’re talking about a 0.03 degree change in direction in the amount of time it takes a dog to poop.
Perhaps you believe dogs are sensitive to magnetic fields, but can you really believe that they are also sensitive to such tiny relative variations in magnetic fields? Much more sensitive than a handheld compass?
I also agree with the general criticisms about p-hacking, but I think it’s worth having some sense of the actual size of the thing the authors are talking about, and how implausible it all is, apart from any details of the statistics.
[0] See figure 4 in https://frontiersinzoology.biomedcentral.com/track/pdf/10.11...