So, after troubleshooting for 3 hours and finding no info on this, I finally have the answer. I used a class template search bar React Native Search Bar and created custom styles for said search bar that was being exported from a file, in a folder named 'components' in a parent folder 'app' that was in my '[project]' folder. I imported the class to each screen as it was a header.
The following was an *incorrect import:
import {SearchComponent} from './app/components/searchComponent'
The correct import is:
import SearchComponent from './app/components/searchComponent'
(Because the SearchComponent was exported as a default component and not a named component in the searchComponent.js file.)
Quick reference to default vs named exports
After correctly importing the component, make sure your styles within that component's folder are named correctly and do not share style names with other styles in your destination file; i.e., name of fileA:styleA != name of fileB:styleA.
After checking your exports and imports very, very carefully and checking your style names with the same detail it worked – and it should work for you, as well.