>“how are you feeling with ${latest_company_happenings}?” or “how do you think the team is doing?” or “are you interested in the work these days, or burnt out?”

That is the worst questions to ask to the experienced people. You cannot share your negative feelings, so the answer should be socially acceptable bullshit.

Are you burnt out? Yes? Sorry to hear that! I'll put a high attrition risk to your name in the system.

Like asking during the job interview the question: Why do you want to work here? I need money and you have an open position! But you cannot answer that to pass the gatekeeper.