Surely will continue to live, even live very well. When World War 3 happened, it did not mean that the whole world lost internet or electricity. So the Crypto market is still acting like other financial markets and the supply of Bitcoin will become increasingly rare, it is possible that the war will cause the price of Bitcoin to increase even more at that time.
Not to mention when war countries will cause political conflict and economic law enforcement will also be loosened, and it's certainly time for Bitcoin to show its usefulness.