There are a lot of things to consider in a situation like this. The fact is many may have fallen or been a victim of it in the long run however I'm certain it's not a general thing. Sometimes the way people spend money is anchored by how they pre determined their spending before they actually got the funds in hand to spend. The fact is many jackpot winnings come from a very thin margin of luck and as a result they actually didn't see it coming.
This means that some of them literally spent those funds wastefully because they had no plans for it before hand. However many people will still settle for the opinion that it all still goes down to personal discipline.
Planning is indeed a big factor on how you can optimize the benefits of your big winnings. Because if you will just spend it wastefully, the chance of losing it all at a short period of time is very high. Hence, you can't expect that you can still be rich after few years of spending that money.
However, if you will spend it wisely and invest it into profitable businesses, you can derive a good outcome out of it.
News stating lottery winners went broke sound more absurd than news saying lottery winners are doing well, because nobody expects someone possessing millions of dollars ever having financial difficulties once again in their lives. And as we can see, absurd news tend to awake more curiosity from the public, generating superior traffic and views. It's similar to the technique used by newspapers of being sensationalist on their front page. That is how they sold their product.
Now with internet, there isn't much difference, as the model is still pretty similar. Moreover people like shocking news, with disastrous tendencies. The fact someone is doing badly awakes more interest from the public than someone who is living a marvelous life. Unfortunatelly, human beings feed themselves from other people's misfortunes.
You have a point on this. It will be like something to read on if there is some misfortune happening or like a scandalous event out of that winning moment. This is how they will sell their stories. Something to learn from the negative outcome.