What’s the connection between שאלה and שאול (Sheol and Shaul) from root ש.א.ל.?

This is fascinating. I always thought שאלה just meant “question” and didn’t really connect it with שאול until now. Does the link imply that both carry a sense of “asking” or “requesting”? Kind of reminds me of how redux toolkit works — everything is built on a single root logic, but it branches into multiple use cases.