So in my own paraphrased and cobbled together words, structural color is different from pigment. Pigment is based primarily on the absorption of light and reflection back of some of it, while structural color is based purely on the reflection of light by microscopic structures somehow arranged to wavelengths of light.

Structural color depends on the arrangement (structure) of the organelles that will produce certain effects on the way light travels when it meets them. Color from just pigments depends on the type of pigment which determines which wavelengths will be absorbed from it and which will be reflected. You can have certain structural color from melanosomes that contain pigments positioned in a manner relevant to the observable light properties (which for example will produce blue from a pigment other than blue, mentioned as rare in the video). So, they are different, but they can co-exist (pigmentation & structure that facilitates certain light phenomena) in organelles like melanosomes.

Beautiful subject :-)