A specific example would be great, yeah.
Personally, I don't care for morals it's not the defining point of a great novel.
In Beneath the Dragon-Eye Moons, the protagonist has pretty strong morals, and it shapes the direction of the story in a certain way.
In Everybody Loves Large Chests, the protagonist doesn't have morals. The very notion of morals is alien to him. He'll have to pretend to have them in order to live in society, but it's just a facade, as the story shows time and time again. Eventually he meets someone with whom he'll want to spend the rest of his days side by side, and he'll have to figure out that how to behave not to grow distant from them. He has to figure out what morals are, which i find is pretty great.
There's many in-between states, from The Perfect Run with his free-spirited protagonist who still keeps strong lines not to cross, to Reborn From The Cosmos, where the whole story seems to be a question, whether Lourianne will abandon the morals that shackle her or on the contrary keep them against all odds.
And I find each of these stories extremely interesting. The authors have interesting things to say about morals, whether the protagonist have them or not. I personally recommend reading Wishers Beware, where the protagonist has morals but the society around him doesn't share them, and slavery is generalised.
I suspect that what you're pointing at are often lazy stories, rather than a symptom of a general degradation of occidental society.