Bitcoin is independent based on the decentralized system, independent of any fiat currency but we can use $ to buy Bitcoin and Bitcoin can also generate $. It is a circulating principle.
the latest bitcoin prices will still be adjusted to USD fluctuations, not entirely relying on fiat because bitcoin has its own dynamics, but the circulating volume indicates that bitcoin is not independent, they are still driven by USD fluctuations, and many traders also use Tether which is more stable using price conversion per 1$.