I think you would have a hard time finding someone who knows me describe me that way. Maybe the way I related the anecdote here doesn't present me well. I am pretty meek and easily flustered. I don't think I was any more confident back then than I am now which is, alas, not very.
> The fact that you were unable to incorporate this into the conversation
In this case, it was an interview with three other engineers simultaneously (a truly cursed interview format), so it was hard to incorporate much of anything into the conversation. It felt much like I imagine a thesis examination where the three of them were in charge of pacing and questions. (Also, it was ten years ago, so I'm sure my memory has faded.
What I recall was them asking me how I'd do some sort of growable collection. I said I'd probably do a dynamic array. I mean, that is the way 99% of growable collections are done today—look at Java's ArrayList and C#'s List. This is a company that does strictly PC games and I was hiring for a tools position. Dynamic arrays are the right solution most of the time in that context.
They asked what the complexity was. I said something like "Constant time, across multiple appends." They didn't seem to get that and asked what the worst case was. I was some appends are O(n) but amortized across a series of them, it's constant. When I tried to clarify, they said they wanted to move on. I think in their minds I was hopelessly lost and they wanted to get to the next question so that I didn't embarrass myself further.
I would have been happy to have a more productive discussion about which problems amortized analysis was the right fit for. My impression was that they had never heard of amortized analysis at all, and thought I was confusing average case and worst case analysis (which I was not). From their perspective, I can see how I looked lost or wrong.
Overall, they had a superior tone that I found off-putting. (For comparison, I didn't get that impression from any of the interviews I had at Google the very next day. My Google interviewers were all kind, engaging, and really fun to talk to.)