I also thought it was bizarre that the Vulcan just went along with it. What stuck out for me was the lack of appropriate leadership and interpersonal skills displayed by the crew of the Valiant. Watters and Ferris show their inexperience, lack of confidence, and overall arrogance by how they dealt with Dorian's homesickness. She was chastised instead of taken seriously and shown compassion. Jake was then given a restraining order basically and watched like a hawk and finally thrown in the brig for voicing his objections.
These twits were so inept at basic leadership and interpersonal skills that they feared one lone voice of objection and the only reaction to it was to quarantine that voice from anyone else who might be swayed by it.