It depends on the individuals.
A great book I’ve read titled, “The 5 love languages”, by Gary Chapman explained in a nutshell that we all experience love in different ways. It put many things into perspective for me, with detail I previously lacked.
Basically there are 5 love languages, physical touch, words of affirmation, quality time, acts of service and gifts. Each individual naturally gravitates towards certain categories and measures, “love”, accordingly.
It can explain for example, a blue collar construction worker slaving for 6 years scraping together enough for a trip to Tahiti and subsequently having a wife that felt for 6 years her husband was emotionally absent at home (he being tired, her language being quality time – his being gifts). She would have traded that trip in a heartbeat, for 10 minutes on the couch every day with her husband. He wanted to express his love for her. In his eyes, he felt that the trip and sacrifices he made to arrive at that point were a symbol of his devotion and love. In her eyes, he did not love her because he didn’t spend time with her. It’s a simple misunderstanding of what makes us tick on an emotional level.
Terms of endearment are important to someone who values words of affirmation.
They should also be important if your significant other values words of affirmation.
In the example you provided it sounds highly feasible that maybe on some level miscommunication is occurring. I would recommend reading the book and seeing if any of it, is pertinent to the couple listed in your example.
It would matter to me under these two conditions:
If terms of endearment mattered greatly to me (my measure of love heavily favors words of affirmation).
My significant other knew that it mattered to me (aware of my love language).
Our subsequent course of action (she now aware that I do not express love in this way naturally—me aware that she measures love in a way I normally do not express it – words of affirmation) would then determine our future, based on our own personal tolerances, emotional expectations and needs as we moved forward. Is his best enough? In the example provided, the use of those terms even on a minimal scale would constitute sufficiency.
Do you know if the woman in this example has ever voiced her need for those terms to be used? How many times? What was his response?