The profile is chosen by the pitch, not the catalogue
Every roof profile has a minimum pitch it can legally and practically be laid at, and that number decides the shortlist before anyone talks about looks. Corrugated needs around 5 degrees. Trimdek and similar ribbed profiles will go to about 3. Concealed-fix profiles like Klip-Lok run down to roughly 1 degree, which is why you see them on warehouses and flat-looking modern homes where nothing else will work.
Laying a profile below its minimum pitch is the single most common cause of a roof that leaks under wind-driven rain while appearing perfectly sound. Water does not simply run downhill on a shallow roof, it creeps sideways along the pans and backs up at every lap. If someone quotes corrugated on a 2 degree skillion, that is a reason to get another quote.
Beyond pitch, the choice is aesthetic and structural. Corrugated suits period and traditional homes and is the profile most people picture. Ribbed profiles suit contemporary builds and span further between battens. Concealed-fix has no visible screws at all, which gives the cleanest line and removes several hundred potential leak points, at a higher cost per square metre.

