Yes! All counter examples are short, given they are nothing but an example that doesn't fit the proposed theory. Gödel's incompleteness theorem packs a lot with respect to the number of pages it is condensed into and I definitely agree with you. However, the current world record for the shortest paper in mathematics is for, "Can n^2+ 1 unit equilateral triangles
cover an equilateral triangle of side > n, say n + ε?" by John H. Conway and Alexander Soifer, which is just two word long! While there are other papers in other fields that attempted at being the same with only three words, "There are none" in "Guaranteed margins by LQG Regulators" by IDoyle, and some in literature like "The unsuccessful self treatment of a case of "writers block"" has 0 words!