As it has been said, the answer mainly depends on the reason bitcoin would die.
Anyway, if it should happen, I think the other altcoins could survive, but it would have a boomerang effect . People would lose trust in crypto and the value could decrease at a very low level
I mean maybe it would cause a panic and crypto would be publicly shunned, but some of the other coins have intrinsic value not tied to Bitcoin at all. Don't you think? I mean, Bitcoin isn't anything special and probably has the most to lose out of them all.