Who cares if the left admits their media is biased. We know it, we don't need them to agree with us. I agree with the OP in this regard, we spend way too much time whining about how unfair the left is to us then turn around and label them as weak or crybabies or something else.
We have our own media, it's biased. We don't run around demanding that our media suddenly adopt middle of the road coverage. We shouldn't be surprised or bothered that the left has their own or if they're going to admit it.
To the best of my knowledge...we're winning the media wars. If we're winning, why are we complaining?