It's hard to say, hopefully the situation doesn't end up in armed conflict specially because that is what the US regime wants (I personally believe the Keshmir terrorist attack was CIA's work, there is just too much evidence suggesting it).
A lot of neighbor countries like Iran are already trying to de-escalate the situation and prevent war from breaking out because the last thing we need in our region is a war.
Depending on the scale and the effects on the global economy, the result in the crypto market could be different.
A war between India and Pakistan, Pakistanis would suffer the most, AFAIK, the Pakistan economy doesn't have such economic strength to hold up a long standing war with India, the type the world is imagining right now.
Tho honestly, I do condemn the Pahalgam terrorist attack which claimed lots of life including tourists. Perhaps this attack was staged to escalate the already existing tension between the two neighbouring countries. But I will urge India to take a leaf from the Ukraine-Russia conflict and how Ukraine are having it now. Because a world power pick sides with you today, expressing a fledging support doesn't guarantee the unlimited existence of such support in the future.
On a global scale though bitcoin might experience an immediate effect in extreme case due to panic sell from investors but it's wouldn't be for long before bitcoin market pumps back.