Anything beyond the most basic and standardized structures use die cutting. The downside of die cutting is the cost, as it requires a cutting die, which can range in price depending on the product and material.
Cutting custom shapes, with rounded details
For corrugated, any customizations to slotted containers, such as hand holes, require at least partial die cutting.
Designs requiring die cutting tend to have much higher material waste
For corrugated, it is more expensive than slotted options (tooling, setup, and run speeds)