Under no circumstances she would talk like this to a work colleague because she would be called a bully.
You see, this is where you're missing a crucial part of this issue - the average woman, by the time she's making these statements (in public, in private, whatever) has already attempted to address this issue 100000 times. The shoes example she's complaining about on radio today, is the 15th time she has asked him to do something relatively simple, THIS WEEK, and he has cocked it up. Because he just doesn't actually care and doesn't think he should have to do the task in the first place.
So you're absolutely right, you wouldn't speak to a work colleague like this. But.... when it happened the FIRST time, or perhaps the SECOND time, there would have been ac conversation. And the colleague would have been expected to improve their performance. And if they still kept stuffing it up, they would be on a performance management plan and, in time, eventually they would be fired.
But that's not what happens in too many instances int he home. So, in my case, yes, DH does something incredibly stupid and thoughtless and I find it annoying. We have a conversation. We agree what he/I will do to ensure this doesn't happen again and then... wait for it.... it doesn't happen again. So there would be no need for me to call into the radio to bitch about DH doing this thing. Again.
I'm not actually wild about these jokes either, but for a different reason. My reason is that if it's all jokey jokey, "aaah, what are men like!? hahahaha", it normalises it and makes it something that doesn't have to be addressed. And sure, you might be annoyed about tin the moment, but hey, it's all a bit of fun and you should really just chill out, have a little rant on the radio, and it's fine. hahahaha. Ick.