At the risk of hijacking someone else's intent I think at least some of this, (majority even?) is people pointing out the inconsistency in how the two Presidents were presented by the media moreso than an actual direct comparison.
You say "haters gonna hate" and yeah, it's sometimes just that simple. What I think at least some of these people are pointing out is how different it is when similar actions bring about different reactions. Another poster mentioned that perception can often equal reality. I doubt any of us would argue that isn't often the case. So, what about when the media goes out of the way to point out certain things critically about one person and not another? Some would argue this is precisely the sort of thing that can steer perception and that's not a good thing to be mucking around with when we're talking about our leaders.
People's views are wildy diverse in this area. I just wanted to point out I think that the "pissing contest" as a matter of directly comparing one person to another might be oversimplifying some people's views.