Hi,
Several professional railroaders have told me that "normal" refers to the main or primary route, not whether the route through a switch is straight or curved. "Reverse" refers to the secondary route. This means that the "normal" route through a switch could be on the curved side.
I also think that railroads tried to avoid having the "normal" route curved wherever possible. This probably happened most often in approaches to stations and yards. Another place where this could be used is on passing tracks controlled by spring switches. The "normal" route in one direction would always be to the curved side.
I have the "normal" route lined to the curved side of several switches on my own layout. In one case, the main line line curves to the left while the straight section of the switch lines to my main yard. My club also has "normal" curved route switches. This is almost necessary in areas with limited space.
I am sure that a professional railroader will have some photos or examples of situations where the curved side of a switch is the "normal" route.
Joe