The main reason for Freudian was simply name recognition. It doesn't mean that in 4017 they'll agree with his beliefs and methods.
I previously considered shrinker, master-shrink, pill-shrinks, and talk-shrinks but didn't like any of them.
I reread some of the internet writings about Kafka. My favorite is this: ''Kafkaesque'' means ''having a nightmarishly complex, bizarre, or illogical quality." Not sure how I would explain how his name became the future term for psychiatrist. Interestingly, Kafka died of tuberculosis at a fairly young age.
This one looks good, but virtually no one will have heard of him: Philippe Pinel is often considered the "father of modern psychiatry." He is most famous for his humane treatment of the mentally ill, as well as his contributions to the diagnosis and treatment of mental disorders. Among other things, he advocated not using chains on the mentally ill. Apparently shrinks of the past needed to be told this? Wow! His work paved the way for modern psychotherapy.
Given how kooky my book is, including a number of its memorable characters, I'd like to find a way to get Pinel's name in the book in some meaningful way. Having psychiatrists called Pinels (or something similar) would probably cause nothing but confusion, though. I could perhaps change the Brainial Unit to the Pinel Unit and leave it to readers to google. Meh.
An article on Bettelheim by one of his former patients/students pretty much paints him as an idiotic dick. He's worse than the head shrink of the Brainial Unit where Joseph is trapped.
I didn't read anything that would suggest why some variant of Sacks would be the word for shrink in the far future. Clearly a smart man and a significant contributor to the field, but if readers of my book were to google his name, they'd be scratching their heads as to why I chose his name. Still, future psychiatrists could then be called Sacksons.
Tzan-Tzas is a strong contender. I'd have to get across that these doctors are shrinks, but the reader would have to google the rest. That's the term for the shrunken heads produced by natives of the Amazon region who once practiced head hunting.
Brainial remains the boring fallback term.