The difference between an Interrogation and an Interview is that Interrogations are meant to be stressful. When you look at your environment and your meetings which of the two is prevailing? I consider a stress-free environment conducive for positive business outcomes and therefore prefer Interviews. Have you been in meetings where you start with questions like "You have a problem", "This is the fault of Team ABC", "Don't waste any time just gimme the bottom line"? This can cause quite some anxiety and if you don't fend off the related stress early the meeting might be useless. Whereas when you manage to reduce the stress level with intelligent questions you can focus on potential solutions. Get away from the negative outcomes and focus on options that are under your control. This will create a safer environment for people to speak up.
Interrogations can sometimes be effective in creating indiviual responsibility. Nevertheless this will increase stress which in my opinion reduces the creative problem solving abililty.
What is your organizational Preference? Interrogator or Interviewer?