There are no reports of deaths of British servicemen in the Times archive for that period. There is a report on 29th January, dated 28th:
"Two R.A.F. Hunter aircraft went into action yesterday and today against some 150 dissident tribesmen who yesterday killed two and wounded five Arab soldiers of the South Arabian Federal Regular Army (F.R.A.) in the Danaba area in the Radfan region, about 60 miles north of Aden"
so that sounds like the incident.
A very brave response and I think you can assure your veteran that there is nothing to suggest that his casualties died of their injuries.
As an aside, the RAF continues this - in Afghanistan at night there was a declared "no fly" period if the moon wasn't up, as visibility was virtually nil even with night vision goggles when the dust flew up on landing. The pilots for the MERT would always find a way to get in if needed for a casualty, no fly or not.