according to oilpulling.com the ukranian doctors wrote the best oils were sunflower and sesame. they did not specify organic, refined or any other characteristic.
however, on this board- much has been written- that unrefined, organic, extra virgin cold press oils are the best. i agree with them.
now there are different kinds of oils- the general consensus seems to be- sunflower and sesame are the best to begin with, sort of a baseline to learn from. after a while people have tried different oils for different reasons depending on their personal conditions.