It wouldn't make a difference. Peanut oil is considered a refined/clear oil.
Refined Oils are extracted from clean oilseed / oil cakes by solvent extraction for further refining to produce clear oil, free from rancidity and foreign matter. These oils are used as medium cooking oils (225°F - 350°F), high cooking oils (350°F - 450°F), and deep-frying oils (greater than 450°F).
Traditionally, cooks use peanut oil to fry turkeys because of the flavor it adds, but you can use other common cooking oils. Whichever cooking oil you choose, make sure its smoke point is higher than the 375 degrees Fahrenheit, the temperature you must maintain to fry the turkey.
A simple rule of thumb is that the lighter the color of the oil, the higher its smoke point.
Oil begins to decompose at its smoke point and this breakdown creates acreolein, a foul-smelling compound. Vegetable oils like peanut oil have higher smoke points than animal fat. Polyunsaturated oils like soy, canola, sunflower, and corn oil degrade more easily than peanut oil at high temperatures.
Learn some deep fried turkey recipes and tips on Epicurious.com.