Your point about the frying not being "deep" is valid, but your insistence that it has to be vegetable oil is just incorrect.

Since the 1960s, most french fries in the US have been produced from frozen Russet potatoes which have been blanched or at least air-dried industrially.[12][11][13][14] The usual fat for making french fries is vegetable oil. In the past, beef suet was recommended as superior,[7] with vegetable shortening as an alternative. McDonald's used a mixture of 93% beef tallow and 7% cottonseed oil until 1990, when they changed to vegetable oil with beef flavouring.[15][16] Horse fat was standard in northern France and Belgium until recently,[17] and is recommended by some chefs.[18]

wikipedia