False; it's a general term [...]
Reading, thinking, then answering. In that order, without forgetting a step.
*
Taking words out of their context is easy, and starting there you can make them means so many things since most of them have more than one definition. Must also be noted that a language is something alive, that evolve with the time and see its words definition slide.
This while, no words sharing exactly the same meaning, synonyms are a purely literary invention; made up to avoid repetitions that would make a text feel too heavy. Hence the aforementioned need to always keep in mind the context, as well as my "as you seem to use it".
What matters when one is writing, is not the academical definition of the words, but the way readers will understand them. Reason why an author like Hemingway is more known that any literacy Nobel price awardee.
In that matter, like
woody554 said,
"triple
" is not a word to choose here. Readers will more surely interpret it as a synonym for "throuple" (slang formed by the junction of "three" and "couple", what is an academically correct approach to build the word designing a "couple", as in its relationship meaning, of three persons), than a synonym for "threesome". This especially since "threesome"
is the word expected, because academically recognized as meaning it, in the lewd context where it's used.
So, next time you want to belittle US citizen and US English (and god, there's so much to say about it), perhaps should you think twice, and not stick to a purely academical approach. Especially since I suspect that the slang word you talk about, without naming it, is actually "throuple"; I have no memory of another "three something" word having made a sudden apparition in lewd games/context
Oh, and by the way, you should also acknowledge that more than half lewd games authors aren't native English speakers, not even in it's US simplified form. Therefore, they will always goes for the most understandable word, whatever it's academical main meaning can be, because they want to be sure to be understood by players that, like them, are not native English speakers.
And here, there's not a single doubt that "threesome" will speak way more than any possible synonym, including "three-way" that is the closest one. Most of none native speakers would probably expect male-female, female-female
and male-male content when facing that synonym, because it's the three way an intercourse can goes.
*: Oops, I did it again...