Does it capture your view of the page, though (i.e. use your own browser, with its cookie jar, to do the scrape)? I'd like to, for example, snapshot my Facebook feed.
No it does not. That means it also doesnt work for any news sites that you have subscriptions to.
Im using the joplin web clipper pretty heavily for this purpose.
Tnen check out historysearch [0] If I remember correctly they index your history so it could include your history. You don't even need to bookmark.
Of course I cannot vouch for their respect for privacy.
I made an application[0] that does capture your view. It's screenshot-based. It works outside of a browser too - anything on your screen. All local too, so no privacy concerns :)