I have a small migraine so if I am confusing let me know. The small cut lines are guides to add layers. For example I have the Sizzlet Parrot die. Here's some cuts from this Ebay seller-
Pirate Parrot Parrots Birds Die Cuts(Scrapbook/Cards) | eBay
Disclaimer- Those are not mine.
I don't know who she is but I am sure she is very lovely. I was Googling a quick pic.
From her pic you can see each color on a different layer. It fits the cut lines. The same thing for the Cricut. I hope that helps.