... A landed ship may not be targeted by any card that targets a ship, unless the card specifically allows it to target a landed ship. ...
However, according to the glossary Alien Parasites does affect landed ships although the card doesn't specifically target a landed ship.
The glossary mentions "a ship associated with the crew" which I agree on when beaming down. But coming from a landed ship, the crew didn't 'beam and attempt' but rather walked onto the planet, then attempted, not really what the dilemma says wants you to do when controlling ('beam back')
How about God? God does not specifically mention 'landed ship', so a landed ship should be safe. Correct?
I remember playing back in the day that landed ships are safe from both dilemmas, but maybe that changed over the years?