Choosing between useColorModeValue hook and responsive object syntax for dark‑mode styling in Next.js App Router

Goal: implement dark‑mode style values for a UI component in a Next.js 13+ App Router project that works correctly during server‑side rendering and updates instantly when the user toggles color mode, while keeping runtime cost low and avoiding hydration warnings.

Constraint: the useColorModeValue hook provides live updates but can only be used in client components, forcing a 'use client' boundary and adding hook overhead; the responsive object syntax (color: { base: 'gray.500', _dark: 'gray.200' }) works in server components and avoids hook cost but does not react to mode changes after the initial render unless the component re‑renders.

Uncertainty: for a component that must appear in both server‑rendered layout sections and interactive toggles, which approach yields the best balance between immediate visual feedback, SSR compatibility, and minimal runtime overhead?

Which approach should be preferred when the component is rendered inside a server component but needs to reflect mode changes without a full page reload? Is it acceptable to wrap a responsive‑object‑styled component in a client‑only boundary just to gain live updates, or does the hook‑based solution introduce unacceptable hydration risk when the initial HTML assumes light mode?