Material names are a useful beginning. They are less useful when they are asked to stand in for the whole product. A case's geometry, formulation, assembly and surface treatment also matter. Start by finding out which component the label actually describes.
TPU describes a material family
Thermoplastic polyurethane is used in flexible components, but grades and formulations vary. The name alone cannot tell you the grip, aging behavior or protective performance of a finished case. Supplier information can explain a material family's properties; a product-specific claim still needs a product-specific source.
Reference: Covestro TPU material guidance.
Polycarbonate often does a different job
Polycarbonate is a thermoplastic used in rigid parts. A hybrid case may combine a polycarbonate back with another material around its edges. That construction makes the question more precise: which material is in the part you touch, and which material is providing the shape?
Reference: Covestro polycarbonate overview.

Silicone is not a description of every layer
Silicone rubber is another material family, with different formulations and processing routes. A product described as a silicone case can have additional structural components. A soft exterior, an internal support and a lining should be documented separately when that information is available.
Reference: Wacker silicone rubber overview.
The surface deserves its own paragraph
A finish can change what you feel without changing the bulk material underneath. Texture, coatings, added coverings and the transition between parts all deserve inspection. In a review we would document those observations with consistent photographs and a diary, rather than borrowing a supplier's material description as an account of real-world use.
Ask better comparison questions
Is the material identified for the frame or the back? Is a recycled-content claim tied to a particular component? Has a grip or yellowing claim been measured, and under what conditions? These questions make a comparison more useful without pretending that one material name guarantees a better case.
