I think you are projecting. Yes, the media is largely negative to "Trump." Then again, Trump has constantly reviled and belittled the press, having called them the "enemy of the people" numerous times, particularly if they don't provide "glowing reviews."
The fact is, the press is tough on any president. That is their job, they should be asking the tough questions of those in power -- since "we, the people" aren't in a position to ask the President (as well as the Senate and House leaders) those questions. The issue Trump has, is he takes it as a personal attack. Most President's (such as Bush, who dealt with the same "liberal media") understand what the Press is doing and aren't antagonistic.
Yes, the line between news and commentary is blurring. Unfortunately, if you want to lay blame for that, a major finger has to be pointed at Fox News -- they are really the TV channel that started the idea of "news commentary." The other news channels started copying Fox, since Fox got such great ratings -- the issue is, to actual report news is expensive and you only get a small amount of real news in a 24 hour period -- so it is hard to drive ratings if you only report the news, other than in an authentic emergency (times such as 9/11).
And I'd submit that most know the difference, they just don't care. And again, you can't lay this on liberals when
studies show that Fox News viewers are almost as poorly informed (and some surveys say worse) than those that watch no news at all.
And, again, as I mentioned above, news does not pay. The 24-hour news channels stared the decline of the newspapers, since then the Internet has all but killed them. The decline of newspapers means less reporters, and the reporters left are typically working for less money (unless they also can be the anchor of a TV news show).
The issue is not that stories are not being sourced and verified, the issue is that these channels and newspapers are increasingly relying on Internet reporting -- "news" coming from non-traditional sources (i.e. not from reporters that studied Journalism). Now, when legitimate news sources (i.e. the "mainstream media") report these stories, they clearly mark them (such as the recent BuzzFeed story) as to the source and that they have not been able to verify the story -- of course (as you point out) the people who are pushing one side or the other tends to ignore the questionable sourcing.
On top of that, as mentioned above, since the 24-hour news channels have switched to "commentary" instead of just news -- particularly panels made up of people from across the political spectrum -- they also want to treat these stories as "truth" -- it isn't that anyone is trying to promote falsehoods but, again, they are looking for ratings and controversy (no matter which side you support) brings in viewers. They tend to look for people who not only look good on camera but that also will be "controversial" enough that it will get people to view in (either because they love or hate them).
Now, if you want to get technical, I'd say much of the issue started when the owners of news organizations started deciding news needed to be "profitable," though that was more news starting to shift on reporting on celebrity (so you could say that is how Trump got his start). But that is a different issue.
And this is the problem -- as a general rule the media is not the problem. I hate what has happened to CNN, particularly under Trump, as they used to do a fairly good job of staying in the Center politically, and now, while they still seek a balance, there is some clear "anti-Trump" bias. Again, much of that comes down to not being able to compete with Fox News, so they think being against Trump will give them better ratings. But the news reported by CNN is still factual, it tends to be their commentary that is skewing slightly left -- and they are still closer to the center than either Fox or MSNBC.
The fact is, the news content coming out of the mainstream media is still largely factual -- and if it isn't verified they list the source of the report and mention they can't verify it. There is some issue with the lack of reporters, because of the lack of "profits," but the level of reporting being done is still very good. It still makes sense to listen to a majority of sources, and compare them -- but again, most Americans "don't have time for that," they need to get caught up on what is happening with their favorite "celebrity" (even if just a social media type of celebrity).
And, to take it a step further, the current media is still better than it has been at times in American History (though we are moving that direction) -- the time when much of the media was owned by William Hearst, and through slanted reporting in his paper directly led the US to declare war.
But, no, I don't see the public demanding unbiased reporting -- what we see today is not calls for honest reporting, but rather people wanted the news slanted in their direction (which is why Fox and MSNBC are both doing well now). This is honestly what Trump appears to be pushing for, when literally anything that is negative toward him, despite being true, is "fake news."