Question

True or false: If you can remove your first sentence from your paper and the introduction still makes sense, you have a bad hook.

Answer 1

this is false because if you remove your sentence from your paper and the introduction still makes sense, means that you apparently have a good hook that gets attention of readers, letting them decide whether one would want to continue reading or not.

Answer 2

This isn't neccessarily true. Your introduction can still make sense without the hook, and the information inside the introduction part should really not directly depend on the hook to explain them, they should either be self explanatory, or you should explain them there.
Hopefully this helps!