> Like I said elsewhere, I don't watch much broadcast TV
Today is a radio programme - this whole thread is about radio. So you won't 'see' anyone on it and it wasn't ever on 'last night'.
> In fact very little conversation about TV programmes in general.
Again... it's a radio programme. And I'd bet my life on the fact that whatever political media you consume actually does frequently has conversations about what happened on the Today programme.
> honestly have better things to do with my time
I think you're thinking it's an evening chat show? Today is essentially the nation’s daily standup, and it's in the morning. You’ll usually get a robust interview with a couple of ministers and often the Prime Minister. It’s a major way we have to interact with the Government daily. The Today programme will often be a primary source for whatever secondary source political media you are using.