Willard wrote:
It's bizarre how people can reinterpret their own words and swear on their lives they said something completely different than what they actually said in the moment.
They will often get angry and refuse to admit to having said what I know for a
fact they said, because I can not only quote the words,
I can recreate the original inflection - I don't just remember WHAT they said, but also HOW they said it. They
hate that.

This is how it manifests in me, too. In addition to the exact words and inflections, I can recall exactly where we were and what we were doing, what angle the sun was at, if the birds were chirping or if there was traffic noise, etc. It's helpful at work for recalling things that people said in meetings, for example, but in personal conversations, it seems to incite more bad feelings than positive ones. Although it has come in handy a time or two when one of my friends misplaced an item, and I can backtrack the conversation to the point where they came in and where in the room they were when they put their keys down. It's like I have a video/audio recording in my head.
As someone else commented, it is mostly when it's a high-energy or high-emotion conversation. Or, more precisely, it had to have been a conversation that had my entire focus at the time.