Are you sure you know what Romance languages are? This is not a statement that anyone sane would be willing to support. Why do you think the Romance languages are so similar to each other?
It is conceptually incoherent to say that the modern languages of Sami tribes have survived while Latin hasn't. The Latin of 2300 years ago is not mutually intelligible with the Latin spoken anywhere today. The Sami of 2300 years ago is also not mutually intelligible with any Sami language spoken today. It was even more different, because Latin has a robust written tradition and writing slows language change.
If one has survived, so has the other, and Latin is massively more successful.
On the other hand, if you want to take the position that Latin died out, then the concept of an "endangered language" is meaningless, as we know that all languages will inevitably die in the same way.
Sami languages are also distinct from each other.
My point was that the specific extant sami languages aren't that old and that there must have been creations and deaths of languages at a higher frequency than I thought.
The claim that none of these languages are anything like Latin is overblown.
One factor is mutual intelligibility, but mutually intelligible "languages" can still be classified as distinct. This is complicated by continual spectra, where A and B, B and C are MI but A and C are not.
Langauges slowly change over time. It's kind of like the Canterbury tales' English is different from Shakespeare's English and even Lovecraft's English is clearly more oldfashioned compared to modern English.
Middle-English is referred to as a distinct language which you can study.
But first I make a protestation
That I am drunk; I know it by my sound
And therefore, if that I misspeak or say,
Wit it the ale of Southwark, I you pray
For I will tell a legend and a life
Both of a carpenter and of his wife
The spelling isn't even that different (though the pronunciation is more so); compare the fifteenth-century spelling from www.chaucermss.org (multitext edition): But first I make a protestacioun
That I am dronke / I knowe it by my sown
And therfore / if รพ I mysspeke / or seye
Wite it / the ale of Southwerk I preye
For I wol telle a legende and a lyf
Bothe of a Carpenter / and of his wyf
(The slashes appear in the fifteenth-century text; I'm not sure what they indicate.)Modern English and Middle English aren't quite mutually intelligible, but if you were somehow dropped into England in 1420, you'd probably be conversational inside of a month.
Linguists do refer to different languages in China, which are referred to by the government as dialects. So there is much more to it than politics. In your definition probably the whole Indo-Germanic family from Norwegian to Farsi or Hindi would be one language.
So yes, latin pretty much died out as a language in the strict sense.
All languages are equally "endangered", if you mean dying in the sense that Latin did, where it was and still is one of the most successful languages of all time.