I was also part of this sort of interview once. They specifically asked personal questions - parents stuff, relationship, etc. Definitely not work related. It was indeed a very strange and exhausting experience. I could've definetly refused to answer some of the questions or drop out of the interview altogether, but not sure why I haven't.
So yeah, this type of interview exists so I highly doubt the interviewer interviewing OP was asking about work stuff...
So yeah, this type of interview exists so I highly doubt the interviewer interviewing OP was asking about work stuff...