Usually though, the device is used to express a kind of understatement. Compare these statements:
He's not bad looking
He's good looking
Which one would you say is stronger? I think most people would say that the affirmative "He's good looking" is stronger than the first version. Another example:
It's not without flaws
It's flawed
If you say "not without flaws", you're usually saying something like "it's good despite its flaws", so that version understates the case compared to the other one.
Again, though: my point was mostly that the meanings are distinct and that language is not mathematics. You can't just replace two minus signs with a positive one and expect the to get the same thing on the other side. Nor should you follow any simple "rule" like that blindly.
I would go for "He's not bad looking" being stronger - but then again I'm from the UK :-)
"It has issues" is to me a stronger, more general objection to the whole thing.
(Funny enough, in the Groningen region the expression "kon minder" ("could be worse") is often used as high praise. Whatever it applies to is implied to be fantastic, almost perfect, in a "but don't get cocky about it" kind of way)
I understand that the Dutch are very much at the other end of the spectrum - very direct and straightforward.
At least in French, litotes are meant to amplify the negative.
The classical example being in Le Cid, "Go, I don't hate you" from Chimène to Rodrigue (who just killed her father), meaning "I love you".
Other example can be found, "Not OK" meaning totally unacceptable, "Not bad" meaning excellent, or "Not stupid" meaning very clever. Of course, all litotes can be interpreted literally, and you often need context or tone to convey the meaning
Interesting that you go on to say that "it's not without issues" is milder than "it has issues". To me it's the opposite, like a short form of "Is it without issues? No way!" I guess it depends on context and, particularly, how much sarcasm can be detected in the tone of voice (if said out loud).
> In this particular case, "Not depressing news" puts an emphasis on the fact that most news is depressing, and that this site is different. "Uplifting news" does not communicate that as effectively.
In any case, I agree with this simple explanation.