YOu don't need to like it. But you need to notice it introduces to a few things: first and foremost the characters, second the tone, and small snippets of plot to keep people excited and guessing.
The DIS-marketing does none of that.
The only thing we find out in that trailer is some names and that the lead is a douche. The Discovery trailers introduce us to the main character and the tone and bits of plot. Or do you think the Klingon stuff is there just because?
Not sure I see the difference to be quite honest?