SketchUp model element objects do not “have” styles. The model has a global style, and you can set a different style to each scene page.
The following linked post (and it’s thread) discuss using scene pages for style control (rather than animation definition.*) I give the link to this post because it is the one with the attached sample model template file.
You can add more “working” scene pages and additional styles for them, named whatever you wish. Then turn on the scene tabs (View (menu) > Scene Tabs) to quickly switch between the various views you have set up. Each view for a scene page, can have it’s own style assigned, and it’s own camera settings (ie, camera position, direction, zoom factor, etc.,) as well as it’s own list of what objects or layers are hidden. (It is strongly suggested you use layers to control what is hidden instead of directly switching the object’s “hidden” property.)
* (You can have both kinds of scene pages in a model. Each page has a “include in animation” property with a checkbox in the Scenes Manager.)