There's certainly nothing wrong with gallows humor, but in this case the focus on that type of material just takes away from the seriousness of the matter. I don't mean here, per se, or on ever-worthless Twitter, but in pop culture at large, including our alleged "press."
One of the biggest mistakes Ken Starr or whoever made the decision made with Bill Clinton's impeachment was releasing so many graphic details to the public, likely assuming this would turn the tides. Instead it was so tawdry and so ridiculous that it became easier for everyone to ignore the dangers in what he did because they could just joke about stains on a dress and a cigar up the hooha.
The decision to release details that may not even be true about things like "golden showers" could very easily make the same thing happen here.