Wood, paper, plastic... all of this can be used to build model airplanes. Paper airplanes are preferred mostly from kids because they are easy and in practice free to make. Older kids and adults often prefer to create or collect wooden model aircraft because wood allows you to start from scratch and build very precise models. But wooden airplanes are usually static.
People from all ages like plastic model airplanes because they can be both static scale or flying models, they are affordable, and there are thousands of kits for builders.