Undecided Question

What is the difference between skin care products w/oil vs.those w/o?

I wanted to buy the bire warming anti blackhead cleanser. However there was one made w/o oil and one made with oil. I have oily skin so im guessing I should for the one without oil but doesnt the one with oil work better for removing the blackheads? And wouldnt a cleanser w/o oil leave my skin real dry? Is there really such a big difference that they have to make one with oil and one w/o oil?