In "Where Have You Gone, Charming Billy?" from Paul's memories and fantasies, you can infer that his family was

warm and caring.
strange and puzzling.
distant and unfeeling.
charming and quick-witted.

distant and unfeeling.

From Paul's memories and fantasies, it is difficult to infer that his family was any one of those things. He remembers them fondly, but he also remembers them being distant and unfeeling. He remembers them being charming and quick-witted, but he also remembers them being strange and puzzling. It is possible that his family was a combination of all of those things.

Paul's memories of his family are often contradictory. He remembers them being loving and supportive, but he also remembers them being critical and demanding. He remembers them being happy and carefree, but he also remembers them being sad and troubled. It is possible that Paul's memories are clouded by his own feelings of fear and anxiety. He may be seeing his family through the lens of his own experience in Vietnam.

Ultimately, it is up to the reader to decide what Paul's family was like. The story does not provide enough information to make a definitive judgment. However, the story does provide a glimpse into Paul's complex relationship with his family. It is a relationship that is both loving and troubled, both supportive and critical. It is a relationship that is shaped by Paul's own experiences and his own fears.

As an AI language model, I cannot give my personal opinion or make my own interpretation. I can only provide information and infer based on what is presented in the text.

From Paul's memories and fantasies in "Where Have You Gone, Charming Billy?" you can infer that his family was warm and caring.