The paper by Craigen and Jedwab points out a very definite flaw in the main theorem by Hurley, Hurley & Hurley, providing a counterexample to that theorem. So the conjecture is still open.
The paper by Leung and Schmidt (here) gives the latest information about possible counterexamples to the Circulant Hadamard conjecture.
A website of Bernhard Schmidt lists smallest open cases based (I believe) on the work of the paper cited above. The smallest open cases are, of course, quite large.