I can't speak to the Daily Mail, but the Post has ALWAYS been "flexible" with what constitutes news, the truth, or objectivity. For one, they are a platform that has historically conflated NEWSpaper with tabloid (they are even called a tabloid in NY... along with the Daily News, which imo is not nearly as egregious, but still sometimes veers... in all transparency, the Post is the "Right Leaning/Conservative" and Daily News the "Left Leaning/Liberal" tabloid/rag as they are referred to back home). They are also a Murdoch outlet, for what that's worth.
Between their lack of political objectivity and penchant for flair and controversy over truth, context, and straight shooting, I am naturally suspicious of anything the Post writes. But, page 6 is a hoot, and for sports there is good value there. That's generally it in my personal opinion. I also am very skeptical of what is in the Daily News.