Good, lay it out mate. But I hope it's a well understood or researched opinion.
A good place to start is with Wittgenstein on communication, language and culture: "If a lion could speak, we wouldn't understand it."
The cultural differences between listener and speaker require people to fill in the blanks and infer meaning—sometimes where none is intended. I believe this to be the case with the clowns who get paid far too much money on the radio to share their unremarkable thoughts.
Their poorly chosen joke was not intended to be any more than such, but in my opinion likely reveals a contempt of Wilson they hold that isn't really a secret, but not something they'd shout from the rooftops again given the choice.
Was it inappropriate to joke about a fellow journalist being drowned and paying for the privilege? Of course.
Are jokes like that inappropriate given the public sentiment about addressing DV, and specifically, violence against women? Definitely.
Is it an example of institutional sexism and misogyny in the media or wider society? Only if you choose to believe that.
Choose. Because if you draw definitive parallels from another person's words to a greater societal issue, you have to both assume you can know their psychology and then exclude all other interpretive options to arrive at that conclusion - see Wittgenstein above. If you do arrive at that conclusion, I would question the motivation as an ideological one and would point you towards Mannehiem's 'particular conception' of ideology and how it is used to dismiss opponent's arguments in an effort to deliberately misrepresent a situation for their own interests. It's my own opinion, but I don't subscribe to Marx's economic and social ideological concepts which fit the modern day 'SJW' mantra of oppression.
Interestingly, I would also agree with Durkheim who suggested that the study of sociology and social issues cannot be done without due acknowledgement of biases, if at all. Instead, an objective (as possible) viewpoint free of preconceptions for the viewer is required.
I can't claim to be free from preconceptions, because when people's reactions seem disproportionate and ideologically motivated, I become dismissive and disengaged. Having said that, I'd describe this whole incident and subsequent discussion as hypersensitive.