Uhh no, what you did is make up your own version of a definition that wasn't actually quoted from any dictionary and excluded the word "unfaithful". And you didn't ONLY give a definition, you also took it upon yourself to call someone out and forse your interpretation onto them, labeling them.
I quoted two actual dictionaries and their definitions are open to interpretation given how people define infidelity in a relationship. It's pretty disingenuous to try to pitch this as just your attempt to help preserve people's ability to communicate on common ground... give me a break.
Oh no, wait a minute, the dictionaries don't all agree on the exact definition?! How will people be able to communicate? Reality though is I think we both know, regardless of what is actually in any given dictionary, that popular use the term "cuckold" outside this lifestyle is in a derisive manner, typically to label another male as weak and subordinate. This is why some here rightly dislike the term, if that is not the dynamic of their wife-sharing relationship.
And that goes back to the medieval origin of the term, which was largely applied to men who were too weak or subordinate to "control their women." In modern culture where women are not "possesions to control" and some men promote wife-sharing, even sometimes to wives who are not themselves initially interested in it, it is not very fitting in those types of relationships. Thus language evolves as ever it has...
This would be you a couple hundred years ago: "SORRY TO BURST YOUR BUBBLE BUT YOUR WIFE ISN'T A CHEATER! The definition of cheater is an officer appointed to look after the king's escheats!"
Or maybe "FALSE!!! Your wife can't be a naughty slut unless she's poor, because the definition of a naughty person is someone who has naught!"
Language isn't like physics... there isn't an immutable, absolute reality independent of our observation, so maybe ease up a little?
Sorry to say you are way off base. All definitions quote are directly from the source, no changes, no embellishments.
Miriam-Webster a man whose wife is unfaithful
unfaithful not faithful to marriage vows
Wikipedia A cuckold is the husband of an adulterous wife
adultery The term adultery refers to sexual acts between a married person and someone who is not that person's spouse
Collins A cuckold is a man whose wife is having an affair with another man.
affair If two people who are married, but who are not married to each other have an affair, they have a sexual relationship.
Dictionary.com the husband of an unfaithful wife.
unfaithful not sexually faithful to a spouse or lover.
Cambridge a man whose wife deceives him by having a sexual relationship with another man
Britannica a man whose wife has sex with someone else : a man's whose wife commits adultery
adultery sex between a married person and someone who is not that person's wife or husband
MacMillan if a wife cuckolds her husband, she has sex with another man
Oxford The husband of an adulteress, often regarded as an object of derision, ultimately derived from Old French cucu ‘cuckoo’, from the cuckoo's habit of laying its egg in another bird's nest.
adultress a woman who commits adultery.
the law dictionary the name given when a man’s wife has been or is unfaithful to him.
unfaithful no definition
wordreference.com the husband of an unfaithful wife.
unfaithful not sexually faithful to a spouse or lover.
kinkly Traditionally a cuckold was a married man with an adulterous wife. However, the term now describes any man in a committed relationship who enjoys his partner having sex with other people.
adultery Adultery is a term which refers to extramarital sex or sex outside of a monogamous marriage. To have sexual relations with someone other than one's own husband or wife is to commit adultery.
Since you thought that I used only one source and therefore made myself out to be an expert. Below is a list of 11 different definitions. None are exactly the same as some use the term unfaithful and some use adultery, in those cases I also have respective definitions of those term. The core is all of these definitions is "a wife with another man". Kinkly is the only one that references 'husband's participation'.
If you don't like the definitions I suggest you contact these mainstays and dispute it with them, until they agree with you, please don't create your own definitions.
Many men don't like the term cuckold, I find that common, here as well as other sites. Though I was a cuckold, I was also a stag, but preferred to call myself 'hotwife husband'.