They might send some porn and maybe give the crew some privacy.. but really, if they are focused on how not to die in the next 72 hours for the duration of the mission, this might not be as big a problem as you think.
I can't help but feel we're all underestimating boredom in this scenario. Yeah, you have to survive, but eventually things will be stable enough for there to be SOME downtime, with very few options for entertainment. When sanity is involved, boredom is a massive problem and sex might be one of the easiest forms of entertainment to arrange depending on what constraints were involved when planning the mission.