I think firstly for event listings, definitely...
ie 'added today', because not every listing appears in news on home page.
If you're like me, and don't want miss anything, it would be a good tool.
And yes, you could use the same button for other sections.
I've made a note.
My advice is, to also submit this request once the new site is online and we have a 'feature' tracker. Others may then vote, which makes it easier for us to determine what people really want.