On the one hand, I think this can lead to ruin in its own way. It cedes all ground to the most neurotic or controlling partner. It breeds resentment in the one who has to make all the concessions. Instead, I would suggest that these conflicts should be resolved explicitly and deliberately. Sometimes that will lead to one person reminding themselves to put the glass in the dishwasher. Sometimes it will lead to the other person reminding themselves that it doesn't matter. Either way, as long as it's a resolution that is mutually agreed and balanced with all of the other minor concessions that each is making, I think it's OK.
On the other hand, a variant of this is a good rule even in non-intimate relationships. If something takes you trivial time or effort, and means a lot to someone else, DO IT. Even for a total stranger. It increases the total "good karma" (but without the moral weight) in the system. Sooner or later, if enough people keep doing it, some of that will come back to you. Something that might have seemed onerous becomes less so because of someone else's minor generosity. IMO the fact that this isn't a common habit, that it's even discouraged by the dominant "everything should be strictly transactional" dogma (ignoring actual results from game and complexity theory), degrades life a bit for everyone.
P.S. Lest anyone claim I'm being inconsistent, changing yourself is hard. It's not a minor effort, like taking one moment to do someone a small favor. They're very different scenarios.