I can see this from the perspective of eating skin, then eating a nugget, then skin and so on. But peeling the nugget with your teeth while eating is like half the fun
I used to do this for my cat. He had advanced kidney disease so whatever I could get him to eat was good. He really really liked chicken nuggets specifically, but was mildly allergic to the breading (would give him breakouts leading to scabby sores) so I’d remove it and give him the inside bits.
I’d make nuggets for him at least once a week.
I did this as a kid. I ate both but I felt a need to separate the skin from the meat and eat it first. I also did it with KFC and the like. I'm a vegetarian now but I still get a small urge when I see a nicely coated drumstick.