I don't follow internal party faction fighting in any party in all that much detail; life's too short. But it's certainly clear that internal fights can be bruising and personal. (Nothing new under the sun there).
That said, my curiosity about the late Senator Kitching was piqued when Pauline Hanson turned up on TV emotionally shaken by her death. The fact that Senator K had gone out of her way to welcome (and befriend to some extent, it seemed) Pauline certainly seemed to indicate a strong right wing status within a left wing party.
Then, today, Guy Rundle really puts the boot into the late Senator's particular subfaction and its union adventures in a free to read Crikey article. He's obviously decided that not speaking ill of the dead can't wait when the death is being politicised so clearly.
Rundle's overall point seems valid enough, though - for the media to just talk about "bullying" without context of the viciousness of the complicated factional and sub factional fighting within the broader Labor movement is outright misleading - and he seems rather panicky about how the small-ish number of pro "Kitching was bullied to death" proponents within Labor are handing Morrison the possibility of re-election.
From my completely amateur perspective, I reckon this will blow over soon enough, and in fact, runs the risk of a backfiring if the Coalition tries to carry on about it for too long. The main effect of the bad PR, I think will be:
a. people who never liked Penny Wong or Kristina Keneally will get to feel vindication and double down on their dislike, but they were already never going to vote Labor anyway;
b. habitual Labor voters are not to be going to be easily convinced that internal Labor treatment of its female politicians is any worse than the treatment of Liberal females politicians, and again, votes won't change;
c. swinging voters are going to be bored with the issue, given that, in all honesty, the nature of the alleged bullying doesn't really seem to stand up to scrutiny as being amongst the worst examples of the genre.
So the Nine Network, Shy News and the gormless characters who work there can keep trying to spin this for political purposes, but I really doubt it has any legs.
Update: Rather annoyingly, Mike Rowland on ABC News Breakfast this morning spent about 15 mins with Albo pushing the Morrison/News Corpse line about "why aren't you having an independent enquiry into bullying". Rowland is smart enough to know the lack of bona fides that Morrison and News Corpse have in promoting the argument, but he never acknowledged the obvious. I thought Albo handled it pretty well, though.