What, in your opinion, differentiates a Safari ship from a Liner, a Yacht, or some other kind of vessel? Is a Safari ship a Liner? Is it a Yacht?
Safari ships are not Liners.
Safari ships are a type of Yacht.
To be more specific ...
Liners are about moving people from place to place. They're people transporters.
With a yacht, the "trophy" is the ship itself.
With a safari ship, the "trophy" is what the ship enables the passengers to go GET and bring BACK to show off.
Both a yacht and a safari ship are mainly about that "trophy" aspect of things.
A yacht explicitly IS the trophy.
A safari ship enables the ACQUISITION of trophies.
However, in both cases for the yacht and the safari ship, that whole "trophy" deal isn't something that is intended for mass marketing appeal. Indeed, the whole point of these "trophy starships" is their appeal to substantially the same clientele of upper class wealthy individuals who live in the lap of luxury.
This is why I take the view that a safari ship is functionally a sub-group of yacht.
The purpose of a safari ship is to "see and be seen" by peers (typically) and winds up being operated in a manner with a lot of overlap with a (proper) yacht. Likewise, I can easily envision some safari ships
actually are yachts for the idle rich to use as diversions to stave off the boredom of their overly privileged lives with a little bit of excitement (and trophy taking that lets them say "I did that" to their peers).
Some safari ships can be operated as commercial enterprises, offering (package) "tours of exotic locales" in other star systems ... but again, that isn't going to be something with MASS market appeal to the common sophont. Some may offer "sporting" events on the itinerary that could involve various forms of hunting, with the purpose being trophy taking ... but it's not going to be done on an industrialized mass market scale.
So in my mind, safari ships are functionally "another kind of yacht" due to the clientele overlap for starships with those capabilities.