That's familiar. Towards the end of my Google interview 10+ years ago I was asked "What do you think Google could do better?" and my answer, which was constructively framed in terms of my wanting to help fix it, led to the technical interviewer saying "Well I won't waste any more of your time."
Like OP, I was told that I was interviewing for a managerial position (in my case, a PM in SRE) but was given a technical interview that seemed designed for recent grads (I had about 10 years of experience at that point). My interviewer was < 6 months out of a grad program and seemed to have very little context for functional or programmatic management and mostly asked me a bunch of big O and algorithm questions. I was doing pretty well until I had the audacity to suggest that maybe the Google Docs/Drive/Whatever needed to be better integrated at the time.
My sense was that they were looking for extremely pedantic and detail-oriented programmers and nothing that I was being asked had to do with real problem solving, design, abstract thinking, or interpersonal skills.
Like OP, I was told that I was interviewing for a managerial position (in my case, a PM in SRE) but was given a technical interview that seemed designed for recent grads (I had about 10 years of experience at that point). My interviewer was < 6 months out of a grad program and seemed to have very little context for functional or programmatic management and mostly asked me a bunch of big O and algorithm questions. I was doing pretty well until I had the audacity to suggest that maybe the Google Docs/Drive/Whatever needed to be better integrated at the time.
My sense was that they were looking for extremely pedantic and detail-oriented programmers and nothing that I was being asked had to do with real problem solving, design, abstract thinking, or interpersonal skills.