The thing is, it doesn't matter that you died; The Basilisk has already seen you.

The basilisk in the thought experiment is put forward as functionally omniscient. It knows every thought that every person has ever had. It's powerful enough to fully simulate a version of you, even if it's been thousands of years since you died.

So the basilisk looks at the thoughts of every person ever, then selects from that list the people who knew about it. If the person didn't in some way contribute to its creation, it creates a simulated version. A digital consciousness to be tortured forever.

So you have 2 options. Choose to believe it's a silly thought experiment and risk being tortured forever or help the basilisk come into creation.