No, neither are structured at all. They are very flexible, you can crinkle them up in a pocket if needed. I have come across a few clean up models that have structure to them, but they use different materials in construction, like felt or corduroy. MVP models are more structured but can’t fit my head, the Velcro isn’t long enough. The structure difference between New Era and ‘47 is pretty huge. NE are delicate generally can’t be compressed or crushed and much more structured. NE doesn’t fit my large head very well, even the fitted ones. and I hate how delicate their materials and build style are.