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It is quite conceivable they might, of course.
Mr Cunliffe's leadership of Labour still has a way to go before it hits rock bottom.
But this week's very public exhibition of the disunity which flows freely and abundantly from the deep schisms within the party may well have proved to be sufficiently damaging to have put victory in September's general election out of reach.
Senior Labour figures are bracing themselves for an expected hit in the opinion polls, but are confident it will be short-lived.
Before this week's disasters, Labour's own pollsters were said to have been registering the party's vote at about 30%.
That is close to the 29.5% recorded in the most recent Herald-DigiPoll survey.
However, usually reliable sources say National's private polling over the past week points to the real scale of Labour's horror story with that party's support crumbling to just 23%.
The start of the week was punishing enough in itself with Labour squirming in humiliation following National's cruise-missile-like strike which removed the opposition party's current prime asset from the forthcoming election campaign.
Labour's embarrassment at losing Shane Jones as a result of a quite brilliant piece of politics on Murray McCully's part left Labour powerless to hit back at National.
But that was no excuse for the outbreak of factional warfare in the form of the Labour left indulging in a danse macabre on Mr Jones' still warm political corpse.
This would not have been in National's script. The governing party would consequently have been pinching itself at its good fortune in provoking such disarray.
For those in Labour's ranks still interested in winning September's election, observing the self-destructive behaviour must have been the equivalent of watching members of the orchestra on the heavily-listing Titanic fighting over who owned the instruments.
Mr Cunliffe has had his share of slip-ups this year, most notably the exposure of his use of a private trust to hide donations to his campaign during the three-way contest for the Labour leadership last year.
But his mistakes now pale into relative insignificance in comparison to this week's calamities which began with Mr McCully luring Mr Jones with a job offer as a roving Pacific-wide economic ambassador.
Sure, a disenchanted Mr Jones may have been ripe for the picking, given that Labour's new method of electing its leader would have more than likely shut him out of the job for good - unless the party's MPs could have agreed to put him up as the sole candidate and present the wider party with a fait accompli.
But Mr McCully getting Mr Jones to quit Parliament was still a lesson in the art of politics.
Mr Jones had been one of the only two Labour MPs causing National the slightest bit of grief - the other being Grant Robertson with his hounding of Judith Collins.
Mr Jones' departure immediately prompted an at times bitter argument over whether he had been of any real value to Labour during his nine years in Parliament.
As far as those on Labour's left flank were concerned, he was just an over-ambitious blowhard who had a way with words but who was driven by self-interest, rather than being imbued with team spirit - something which was amply illustrated by the shocking timing of his going as far as his many critics are concerned.
They had two words to mark - or rather celebrate - his exit: good riddance.
For those on Labour's right flank, Mr Jones had been someone who, for all his faults, could reach into segments of the voting public which those on the left professed to represent, but with which they had long lost touch.
Given he was such a polarising figure, postmortems were inevitable.
But this argument was as much about Labour's direction as it was about Mr Jones.
Along with other colleagues, Mr Jones was worried that Mr Cunliffe shifting the party leftward could only extend so far and for so long.
At some point, Labour's leader would have to bow to the brutal electoral mathematics which require the two major parties to fight for occupying rights in the centre.
The great fear of Mr Jones and others was that the seeming chopping and changing by Mr Cunliffe would end up satisfying no-one.
Mr Jones' departure has stoked even more worry for the party's centrists that the left will see it as a victory in the simmering and debilitating power struggle for control of the party.
There has been a lot of talk in the past few days about Labour being a ''broad church'' for all-comers.
Indeed, former leader Helen Clark's strategy for winning elections had Labour building relationships of mutual benefit with sections of society who were in the minority - such as the gay community - or felt they were in the minority - such as the elderly.
A fair chunk of these minorities have formal representation within Labour's organisation.
But in seeking to secure their pound of flesh in terms of policy gains in return for votes, their agendas have become increasingly out of sync with the far more apolitical or conservative-leaning wider New Zealand public.
With the left of the party running its own agenda which puts purity ahead of pragmatism, Labour's appeal is shrinking.
Those voters whom Labour needs to capture will see Mr Jones' exit as a further narrowing of Labour's appeal.
The ''broad church'' is turning into The Temple of the Tyranny of the Minority.
Those voters will also view the disdain shown towards Mr Jones and accompanying calls for the purging from Parliament of such Labour stalwarts as Phil Goff, Annette King and Trevor Mallard as pretty solid evidence that Labour's disunity is such that the party is not yet fit to govern.
Much of the arguing of the past few days has taken place in social media and the blogosphere.
Too late, Labour has discovered these tools can be double-edged swords.
They are fine when it comes to disseminating a message, but not so fine when the protagonists in a digitally-sourced debate start hanging out their party's dirty washing simply to score points against a competing faction.
If nothing else, Mr Cunliffe has to restore some discipline to the party's proceedings.
His difficulty is that doing so requires him to confront those on the left of the party whose votes won him the leadership.
He is scheduled to make a speech to members of Labour's youth wing this weekend.
He is expected to stress Labour must remain a broad church party; that Labour can target policies both to the left and centre.
The big question is how firm and insistent he is in pitching this message - and whether his audience is willing to heed the obvious warnings the speech will implicitly carry.
• John Armstrong is The New Zealand Herald political correspondent.