No matter the conflict of any country, Bitcoin still grows.
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 price 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.
I agree with you on this. Although Bitcoin's price did not react much during the war that lasted for only twelve days, we should not get too excited yet. Of course, it is a good sign that Bitcoin is getting stronger.
However, if the war had resulted in a world war like many predicted, we would have seen a more obvious effect, which may also have affected Bitcoin too. Yes, Bitcoin may be independent on its own, but the activities of investors will reflect on its price movement.