Are translated novels regarded by authors as their own work or collaborations with other writers?

This post is about translations. This is an English language forum, so all the posts are in English. Everyone who posts or lurks here will be able to read English. Every writer who posts here probably writes in English. I have a question about translations of books in to other languages.

A large part of what makes a writer unique is the prose that they use in their writing. If I commissioned 10 different writers to write about a specific plot point, they would produce 10 different interpretations, completely different from each other. Each unique pieces of work. This is due to the nature of the artform. The specific language each writer would use to describe the same events would be different and unique to them. The words would be different, the descriptions would be different, the pacing, the tone etc. In essense each writer has unique way of using words in their writing. Given this reality, how exactly do writers approach the issue of their work being published in a different language from the original work?

Obviously if you get published, it is a great accomplishment for a writer. That is how you can do it for a living. If your work is very successful or in demand, then you will have a chance to get your work published in other languages, some of which you may not speak at all.

My question is how do authors maintain control over their work being published in other languages? If they don't speak the language that the work is being translated into, how do they know that the translation is actually good? Does not the very process of translation mean that the uniqueness of their own writing is lost, as their choice of words that define them as a writer is lost, as the new translation is written by another person? The person who writes the translation is the person who is choosing the exact words to use in the translated novel. So it is the prose of the translator rather than the original author that is being represented in the translated novel. If each author would have a unique choice of words to write the same story, then doesn't this mean that any translated novels do not fully represent the original author's work, because the word choice in the translation is not their own? Is this a trade-off that simply must be made in order to have your books published in other languages?

A foreign language translation can obviously hit all the same plot points as the original work without issue, but the descriptions of those events would be the word choice of someone else entirely. How do authors feel about their work getting translated into other languages from this aspect? Obviously it is good business for them to expand in other markets, raises their profiles and boosting sales etc. Do authors view translated works the same as the original language versions? or do they view them as collaborations with the writer who actually translated the work into a different language?