LLM summarization is utterly useless when you want 100% accuracy on the final binding decisions on things like council meeting decisions. My experience has been that LLMs cannot be trusted to follow convulted discussions, including revisting earlier agenda items later in the meeting etc.
With transcriptions, the catastrophic risk is far less since I'm doing the summarizing from a transcript myself. But in that case, for an auto-generated transcript, I'll take correct timestamps with gibberish sounding sentences over incorrect timestamps with "convincing" sounding but halluncinated sentences any day.
Any LLM summarization of a sufficiently important meeting requires second-by-second human verification of the audio recording. I have yet to see this convincingly refuted (ie, an LLM model that maintains 100% accuracy on summarizing meeting decisions consistently).