Her cover of Zombie didn’t offend my ears.
You could plot songs on an axis from random nonsense to meaningful. So the original sits firmly at the meaningful end of that spectrum.
Miley’s cover of Zombie is great, but does it mean anything (it could be, but I’ve not seen her protesting against the NRA or anything). It’s also not really that different to the original.
Sometimes a cover takes a song and strips it of all meaning, like Leona Lewis covering Hurt, and it’s awful, instantly forgettable, or other negative platitudes. On the other hand you get a great cover that leans on this like the Artic Monkeys absolutely wetting themselves covering the absurdity of covering Love Machine (which was hardly “meaningful” but at least made sense in it’s original context).
Sometimes a song’s so universal that anyone could cover it with feeling (Nothing Compares to You).
Psycho Killer was just random nonsense to start with (unless David Byrne is going to be outed as a serial killer) . And not in a brilliant high concept Flaming Lips kinda way. Katy Perry could cover it with as much credibility.