NTR is a really interesting subject if you look a bit under the surface. I voted no but I have no issues with people who like it. It's hard to put into words without getting lost but the psychological aspects of NTR that is either appealing or - unappealing but triggers something other than disgust is actually tied to how dimorphic species evolved. If you are interested, Steven Pinker's book "How the mind works" covers some of this, not NTR or cuckoldry - but sexual competition and how it manifests itself in behavior as well as physical attributes.
Anyway, the specific aspect of cuckoldry, why some guys like their significant others to be taken by other men is connected to an instinct to compete sexually. The cuckold doesn't see it as his wife is sleeping with another man, the cuckold "sees" it as he needs to take her back by being twice as effective, or whatever. There are also layers of shaming kink but I don't know specifically about that.
NTR is related but slightly different - and it's largely driven by a form of schadenfreude - the sensation of deriving pleasure by seeing the misery of someone else. NTR is probably one of the purest manufactured forms of schadenfreude in media there is. NTR is actually not a "self insert" type of media, or it's not intended to be - Schadenfreude is the lion's share of whats going on psychologically in NTR - but there is also power dynamics in play as well as aspects of reinforcing personal biases that could come into play. Seeing the "fantasy" that "all women are like that" or "women can be as bad as that" (or men for some of the "reverse" NTR).
Either way, there are actually studied and researched scientific reasons as to why NTR is appealing to some. It's not just BS or twisted individuals.
The first few episodes of American Idol or any "Idol" type show where they lambast and shame really bad singers or whatever - their popularity is in part due to the same psychological triggers that NTR taps into. Most reality TV functions off of some form of schadenfreude - that's why it's mostly show about the lowest of humanity. Honey boo boo, whatever hicks they found out in some swamp, whatever hicks they found out in some wilderness. "Lives of the rich and famous" is no longer really a thing, even "MTV cribs" isn't nearly as popular as something like "Jersey shore."
So take the psychological dynamic of American Idol, and instead of a third party being ripped apart by some judge in front of millions of people, a third party's relationship is being ripped apart by a sexual aggressor. They are far more alike than they are different.
If you want to read more about it - the two links below are fantastic resources. I especially like the Discover Magazine article but it's more tied to the Milgram experiments which is about the elasticity of morals and how division of moral responsibility works in our heads.
http://discovermagazine.com/2007/may/peer-review
https://www.psychologytoday.com/articles/200109/why-america-loves-reality-tv