I don’t think taking a note book is necessarily bad but it depends on the role. If it has lots of relationship type stuff there is a risk the notebook could become a barrier or stunt the conversation as you write stuff down and break eye contact.
I have a notebook in the car, straight after the interview I make as many notes as possible. I try to write every single question I was asked down and how I answered and whether I was happy with the answer. Focusing mostly on those I didn’t feel went well.
Tbh most of my interviews are normally 50:50 with me asking as many questions as them, but its weaved into the conversation. Another way you could have asked the who you report to question could have been at a point the role is being described, ask how it fits within the organisation, who the roles key customers and stakeholders are, etc…
It does really depend on th3 role