In the more general "team at work" case, it's also straightforward, sit together, define the bucket of work that needs doing, distribute it "fairly", and go do it. The team leader's job is to get and communicate outside stakeholders' needs + the wider org context, not to give marching orders.
Absolutely agree with this but then the adult thing to do is not to attempt to manipulate the partner into doing the work but either a) fix the situation directly if it's a one-off (asking, "would you take out the garbage?" or else just doing it), or b) if there is a pattern of unfair division of labour in the relationship, raise it, discuss it honestly and with intent to find a fair solution, and resolve it.
> Once it becomes subjective
Relationships are subjective. It takes a collaborative effort to make them objective. Subjective is the default mode.