I always recommend BazQux or Feedfin. They are both web based and can be used with apps on almost all platforms.
But if it’s with a specific feature you have quoted, I don’t know or think there is one that can be done privately simply because of the number of services involved.
Yes, this feature is critical to me. I’m not sure how people do it, but going through something like 1k articles a day without this feature sound tedious to me.
So no privacy oriented one has a similar feature then?
I think you also need to realize that privacy focused apps are a LOT more simple, straightforward, and no-nonsense. They always have the most basic to basic+ features but rarely feel full fledged.
So, what you’re looking may not even be possible for a open source/FOSS RSS reader product/app.
So, to answer your question: No, not that I know of.