| JOSAK |
Nope, Paladins are followers of rule morality, (YOU SHALL NOT KILL, YOU SHALL NOT STEAL etc.) There is no grey and there is no consequentialist ethics.
So in the case with the hostages the Paladin MUST NOT kill the hostage, in the case with the self preservation the Paladin must not surrender the fugitive but must fight for his ideals.
They are the fantasy equivalent of Martin Luther King allowing someone to beat him or Buddhist monks killing themselves to raise awareness or Buddhists refusing to fight even while being massacred.
Basically rule ethics holds that as soon as you begin applying human reason to the rules you will stray from the only moral path. In the case of paladins generally handed down by a deity of some description that is revealed wisdom too great for you to even begin to understand, you should only obey.