Yes Oils can be healthy as well.
http://en.wikipedia.org/wiki/Rice_bran_oilRice bran oil is rich in vitamin E, γ-oryzanol (an antioxidant that may help prevent heart attacks[4]), and phytosterols (compounds believed to help lower cholesterol absorption[5][6]), which may provide associated health benefits.
So some oils including olive oil as well actually reduce cholesterol.
A little on Ghee as well.
http://en.wikipedia.org/wiki/GheeButter Ghee is saturated fats, BUT it has been shown to reduce cholesterol in rat studies as well, where as vegetable ghee is just hydrogenated vegetable oil which has been shown to be very unhealthy. Vegetable Ghee has been shown to cause a rise in LDL cholesterols.
So although wikipedia is not strictly the most accurate source of information sometimes, but the information within there is backed up by reference sources.
So give me Butter Ghee over vegetable ghee, but used in small quantities along with healthy oils.