There is a Hide Forums link at the bottom of the Latest Posts page, so you can use it to hide forums such as Translations, which you never visit.
Can't you simply go to the index page and check out each forum separately? After all, those forums are what you mean by 'sections'. After you've read up on all threads in the interesting forums you could use the normal Latest Posts page to keep an eye on new posts.
I can see where you're going here, but it seems a little useless to me
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