Calls for the withdrawal of New Zealand troops from Afghanistan have stepped up in the wake of the casualty including from two of National's support parties, the Maori Party and United Future, as well as Labour.
Dr Mapp and General Jones held a press conference which was monitored by Prime Minister John Key's deputy chief of staff. Mr Key was away from Wellington visiting the Wairarapa.
The Government is committed to keeping the SAS in Kabul until March next year, their deployment having been extended for a year at their own request. But it is clearly anxious that deaths do not erode public support.
A Herald-DigiPoll survey conducted in July showed that 23.1 per cent of respondents thought the SAS should stay in Kabul beyond March while 63.3 per cent said they should be withdrawn as scheduled.
Since the SAS have been stationed in Kabul they have been "mentoring" the Afghan Crisis Response Unit (CRU). General Jones said the term mentoring was used by the International Security Assistance Force and likened the risk to that facing a driving instructor. "You're in the car; if there's a crash you're going to get hurt."
Dr Mapp said that the Government had been very open with the public about the role of the SAS.
"It's obviously dangerous, no one's doubting that, and no one's doubting that men are literally within the range of lethal and mortal combat, but I believe that the Government is open with the New Zealand public about that."
Dr Mapp reminded reporters that the invasion of Afghanistan had been mandated by the United Nations because the Taleban had been sheltering al-Qaeda after the September 11, 2001, terrorist attacks in the United States and that there were 49 countries in the Nato-led ISAF.
Dr Mapp said the SAS mission was important "and we intend to complete the deployment".
General Jones rejected claims by a journalist in Kabul that the raid on the compound had been the result of a family feud in which someone alleged a family was harbouring a suicide bomber.
"Unless it was a humdinger of a family dispute, the time taken to compile the information to actually get the legal authority [arrest and search warrant] indicates this was a measured and legal response to a neighbour giving information and a tip-off."