It was tested on rats, so the type of fat probably doesn't matter (in regards to the effect on rats), since rats are more capable of handling and neutralizing the effects of bad fats than humans are.

EDIT (quoted from the comments by the author) "AND MORE INFO FROM DR. MURRAY:

This particular study didn’t look at any specific fat types, but used a fairly normal mix of saturated, polyunsaturated and monounsaturated fats, as well as long chain and medium chain fatty acids. The readers are absolutely right that not all are likely to be equal, so we are carrying out further studies to flush out the real culprits. My own feeling is that the long chain fats are the worst offenders when it comes to decreasing metabolic efficiency, with medium chain fatty acids (such as those in coconut oil) possibly being less detrimental."