Non-antagonists are expected to not recklessly endanger the station. For example, they should not respond to credible threats to destroy the station with taunts. They should also not respond to a hostage situation by interfering with security’s handling of it or take actions that cause the hostage to be less likely to survive, unless those actions are in preservation of another life, including their own.
Security and command are generally expected to act in the best interests of the station. They should make an effort to resolve the situation in the way they feel will be best for the station as a whole, including its crew. They are not required to do this by entering into negotiations with the hostage taker, if they feel there is a better option. Security/command negotiators can decide to not negotiate on the basis that the demands are more severe than the threat.