I would have thought that a good council would have specific policies for how the people who elected them can field questions of the council. Most would prefer a written question to which they can research and formulate an accurate response. Asking the question at the ( usually time limited) open session at the PC meeting can lead to a " we will come back to you on that" response or censorship by the chair. Avoiding or not responding to genuine questions goes against all of the principles of the code of conduct.
How a PC can demand an appearance at one of their meeting is dictatorial in the least and good indication of a council who have lost their way and understanding of who they SERVE