From my personal experience, I'd say generative AI isn't the best tool for summarization. It also frequently misses the point when I try. Or makes up additional facts which haven't been in the input text. (Or starts going on (wrong) tangents despite the task being to keep it short and concise.) And I'd say all(?) models do that. Even the ones that are supposed to be big and clever.
Edit: Lots of people use ChatGPT etc for summarization, though. So I really don't know who's right here. Maybe my standards are too high, but what I've read as output from small to big models like ChatGPT wasn't great.
There are other approaches in NLP. For example extractive summarization like the BART model from Facebook. That's precise. Some Lemmy bot uses LsaSummarizer, but I don't really know how that works. Or maybe you can re-think what you're trying to do and use RAG instead of summarization.