Especially if what you want to be productive on is art, it's good to take advantage of the time when you feel most connected to yourself. But I find that connection requires lowering all of my defenses, including to the outside world. So it's still best to do that before I've been beset by the news.
At the same time, being more resilient can help me get other useful stuff done through the rest of the day, including stuff that is sort of adjacent to the art-making process. (For example, I make music and it's hard to find an inspired melody later in the afternoon when my head is aswirl with the chaos of the world, but I can still putter around with sound design and mixing.)