Look most things that we do in our cleansing quest have to to with just plain common sense. Dumping a bunch oil into a system in fasting mode is simply NOT a good idea both from the view that it can simply make you sick and also since one has not been ingesting fats on a fast there is little bile there to deal with the oil and make the flush more productive.
Doing a parasite cleanse while fasting is also not a great idea both in that you are affecting the fast by adding all these things that the system has to digest and deal with instead of using all this energy for cleansing and healing and also that it has a good probability to make you quite sick (herxheimer reaction) from more toxins being released from die-offthan the body can handle. More is not better. All these protocols work great and are meant to be done on their own both to allow them to work optimally to optain the best benefits and to advert the possibility of getting sick. Use the K.I.S.S Principle*
*Keep It Simple Stoopid ;+D