Suppose that two people living together have agreed to a fair way of distributing the necessary chores. There is a prior question: how are they to decide which chores need doing in the first place? Suppose they diverge greatly in their tolerance of general messiness: one must have everything spick and span, whereas the other sees no point to tidying at all. Does fairness require the happy slob to pitch in, or the neat freak to take care of their own fussy preferences? Or is there no determinate answer to be given here?
One might argue that domestic harmony requires cohabitors to look out for each others' needs. Any chore deemed "necessary" by either person is ipso facto necessary for their household, so the slob should get scrubbing.
Alternatively, the two individuals are meant to co-operate for their mutual benefit. So it's unfair to force both to work towards an end that only one of them cares about. The only chores necessary for the duo, together, are those that advance their common goals. If one has extra preferences of their own, they should take care of those themselves.
Or does it depend on the particular details? Perhaps there are objective facts about what chores need doing for a good household, regardless of the particular opinions of its inhabitants. In some cases the less fussy one is failing to meet these minimal requirements, whereas in other cases the more fussy one may be demanding more than is reasonable. (This standard could be culturally relative, determined by "society" somehow, whilst still being 'objective' at the individual level.) I can't see much reason to favour this view, but it does seem assumed in common discourse, where 'slobs' and 'neat freaks' are considered defective for deviating from the norm.
Finally, the moral point of view may entirely abstain from recommending either option over the other. It's simply up to those involved to sort it out to their satisfaction. There are no external standards to guide them at all.
What do you reckon?