Depends on whom they were embarrassing. If WSJ (owned by Murdoch) published something embarrassing to the Obama administration then the machinery of the left will spin it as "Oh, that wicked Fox News up to their usual tricks again".
It's amazing that you've come in and criticised "the left" for spinning something pointlessly, when in fact you're just spinning it right back at them, while nobody else had made this discussion in the slightest bit party-political.
But, PR can spin WikiLeaks as anti-American, it's much harder to do that while trying to shut up the WSJ.