Immediately I saw what was said about Bitcoin being an independent asset, I smiled.I know that there's no way Bitcoin can be an asset on it's own that does not depend on the international market and trade. Bitcoin is tradable and it's greatly adapted worldwide and it has from beginning follow market trends and speculations. I've never seen any global asset that is independent and I'm sure Bitcoin isn't so it is possible for the war to cause a price drop.
It is undeniable that Bitcoin performed quite well when the war between Iran and Israel broke out. Despite escalating conflict, Bitcoin has not been sold off too severely. It can be said that bitcoin has matured significantly. However, that does not mean being completely immune to the effect of war, geopolitics, or macroeconomic event.
You are right, no asset can exist independently of the global economy, and Bitcoin is no exception. Many people seem to think that decentralization means it can exist independently, but that is not true. Furthermore, Bitcoin network is decentralized, but its price is not. Its price still depend on the factors I mentioned earlier, and unfortunately, all of those factors are directly affected by the war.
Bitcoin is not independent, however, war does not always cause it to fall. That will depend on many other factors.