Well, if one ask my opinion whether NDEs and STEs have some universal moral message, my answer would be: yes and no - it depends on what you mean by "morality".
I recognize two major - and mutually contradictory - meanings of this word; I will call them morality-1 and morality-2.
Morality-1 is empathic lucidity, a deep trait of our psyche which allow us to feel connection with others and understand their significance. It is the need and intention of the positive transaction with other beings, to mutually reinforce happiness and to help overcome suffering. It is the will to bring the bliss of yours to the world and share it with others.
Morality-2 is formal obedience, a docile following the rules which your tribe (whether it actually calls itself a "tribe" or uses some other name, such as "nation", "corporation", "country", "church", "societal order" or "public peace") are enforcing on you without your consent - and expects nothing but submission. Such rules may contradict morality-1 in the most obvious and shocking fashion, including demands to initiate violence in the name of morality-2.
As Diane Corcoran, a President of IANDS, noted (and her words are echoed by other NDE researchers), NDErs have a doulbe effect on experincers: on one hand, they tend to become more compassionate and humanistic; on the other hand, they become much less obedient to formal rules and regulations - including allegedly "moral" ones - forced on them by society. They have a deeper and stronger sense of morality-1, and more liberated from the bonds of morality-2.
Which is a desirable result, I suppose. In the fastly globalizing world, we have to develop some ethical vision which transcends tribal dogma. Otherwise we would be doomed to the cruel and meaningless cultural wars with no end in sight, since no tribal rule-set is superior to another one. And such vision, which might be loosely called "humanistic", is definitely empowered by the blissful transcendence of NDEs and STEs: if you perceived a glimpse of Ethernity, it is much harder not to see through the veil of arbitrary rules - and not to notice the living persons around you.