I agree, they are helping him.
A story from “the Art of the Deal”.
Trump demolished the Bonwit Teller building to build Trump Tower. He originally agreed to preserve some art deco sculptures on the first storey, but because of delays and extra cost he had them demolished.
There was an outcry led by preservationists and the NYT against Trump. Trump admitted it was a mistake, but he noticed that every negative story was a variant of the idea that he had destroyed priceless sculpture “To build the world’s most luxurious building.”
So every hit piece actually promoted Trump’s main marketing pitch.
Thus, when I see Green Day puts his booking mugshot on their T shirts to ridicule him, all I can think of is :
“To build the world’s most luxurious building.”