Digging around, it seems the iTween Orient to Path functionality has proven kind of confusing, but as far as what I have found goes I can't find a solution to my particular issues. As far as I can tell, no matter what the settings are (unless I turn off orient to path altogether in which case the item will just stay locked to its rotations) the object wants to look at the end of the path. No changes to the settings concerned will garner a result other than no rotation or Looking at the end of the path the entire way.
Bizarrely, if I set the Look At Object field to None in variable mode, it works to the above effect. If I set it to None wherein it is asking for an object from the Assets/Scene menu, however, the animation will cease to function altogether.
As far as I can tell, the LookTime field isn't being recognized for whatever length I have entered. Is there something I need to set properly for that field to work?