Basically the descriptions of rogue servitor says it all.
Mandatory Pampering
This living standard enshrines a small population of organic beings as display pieces, through relentless and unyielding pampering.
Bio-Trophy isn't a job it's as described in living standards and Rogue servitor.
Also Ecunumeropolis worlds already act as resort worlds as you can build bio trophy districts.
All the needs of the bio species are met. This means it's basically a long Holiday no work continuous rest etc.
Edit:- Myself I do not see why the Machine intelligence would also allow their precious bio species to travel. They are relentless in protecting them. It can also be seen as a sort of prison for the bio species. as described in the living standards {Display Pieces}
I keep seeing this "evil servitors" theory popping up, and it seems most people don't realize servitors are kind of based on the culture, which is a space communist society with AI taking care of the humans (their translated name for thousands of xenocompatible species that are basically one). In the culture the humans are free to travel anywhere, and most live on ships, rings, and habitats. Since the ships are alive, sometimes a "quirky" ship wants to sail off to the dark, and "quirky" loner humans go off with them. Since the humans live thousands of years, some of them will do wild things like surfing down lava, etc... Etc... So vacationing, when you're an immortal with all your needs met, is just searching for excitement. And just cause your needs are met does not mean you don't search for excitement.
Rogue servitors, by default, allow their biotrophies the right to travel. The very term "rogue servitor" reflects the Idiran propaganda against the Culture. Idirans are spiritualist militarist authoritarians and think the culture are a bunch of spoiled brats, soft and ripe for conquest, who are nothing but the biotrophies of their machine intelligence. Neither the human citizens of the culture, nor its AI Minds, consider them trophies. This is entirely the view of outsiders.
If you want to play evil servitors, no one is stopping your from roleplaying them. But that is not the scifi source material. The scifi source material is literally the source of the "fully automated luxury gay space communism" meme. It's meant to be a moneyless utopia, according to Iain M. Banks, who was a card carrying communist (but opposed to bureaucratic dictatorship, hence why when the culture visits earth they directly reference Trotsky).
To me, when I play servitors, I play them as though they were the Culture: basically Fanatic Egalitarian, Fanatic Xenophile, Fanatic Materialist.