Boneless skinless should not have fat attached. It gets oiled and seasoned and will stay moist. If buying bone in meat like whole breast or thigh, yes its going to have fat. Even then though, it shouldnt have a huge slab of excess fat attached which the supermarket left on for extra weight.
Watch out for vegetable seed oils. They are very unhealthy. Polyunsaturated oils like canola, grape seed, corn oil, peanut oil, etc. readily oxidize and the byproducts drive oxidative stress in the body. Saturated fats are much more resistant to oxidation.
Between grape seed oil and chicken fat, the chicken fat is far more healthy.
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