In a more serious war, BTC price would surely crash, but it wouldn't only be about BTC, the global economy would suffer and stocks would also fall, inflation would rise high and the price of commodities would skyrocket, you surely do not expect BTC to rise in the midst of all of this, do you.

However, the israel v Iran conflict didn't escalate, it didn't even last two weeks, so that's the reason for the limited impact on BTC and other assets.