Cylon loyalty card abilities and the New Caprica detention location
No. Abilities that are affected by the brig are affected by the detention area. The FAQ covers this under Pegasus Expansion (page 2), Brig, Sickbay, Detention Area, Medical Center

If you don't like that answer, the Pegasus Rulebook (page 14) states:


  As is the case with the Brig, players cannot use the reveal actions on loyalty cards while in Detention.