The React component-based approach can cause unnecessary re-renders of components when a parent component passes down a callback function to a child component through its props, even if the child component is memoized. This happens because the callback function receives a different value for the prop every time the parent component gets re-rendered, causing React to bypass the memoization and trigger a re-render. To fix this issue, developers can use the `useCallback` hook to prevent the callback from recreating as long as there are no changes in its dependency array. By doing so, they can ensure that the callback keeps the same reference value between re-renders, preventing unnecessary re-renders of the child component and improving the performance of the application. Integrating a tool like Sentry into the app can help identify these issues and provide valuable insights for optimizing React performance.