The burnposts of the first screenshot are actually a good thing.
It's a project which burns all the rewards the posts receive. They get sent to @null and disappear. That lowers inflation, and takes STEEM off the market, which gives (a little bit) more value to all remaining STEEM and SP.
It's ugly that they show up on trending, but that only happens because seemingly a lot of people want to reduce the inflation right now.
Agree with the lobbying - that needs to be tackled in the future. Some people already downvote what's on there, and it wouldn't hurt if that would be done more.
RE: Trending Page is The Beauty of Lobbying