Subject drawn in the style of analytic cubism were often interpreted as flat figures with?

Representational structure is most likely the term you're looking for.

If you are familiar with the art of Pablo Picasso, you have a good example of someone who produced works of analytic cubism.  There's not a use of perspective to give shape or depth to the figures.  Instead, shapes are overlapped and structured in ways that represent the idea being presented.  Do an Internet search for Picasso's 1909 painting, "Houses on the Hill Horta de Ebro," and you'll see the effect.  You get a feeling of houses on a hill, even though everything is presented in layered cubic shapes.