Checking sources twice is something you should do from a news agency that is actually reputable. As in it trades on being honest and accurate. You’re not obliged to read everything from an outlet that has no track record of honesty and integrity simply because you’ve been vested around the head with the internet ‘logical fallacy’ meme one too many times. Thinking that everything you read on the internet should be worth your time to fact check is the ultimate logical fallacy.