I don't want to denigrate any heroics or disagree out of hand, but here are 'facts' from my fallible memory, six decades later with some Internet backup that reinforces:
Edited from
https://www.nationalmuseum.af.mil -
"The Air Rescue Service (later the Aerospace Rescue and Recovery Service) first used Kaman HH-43 Huskie helicopters, unofficially known as "Pedro" from their radio call sign. They later added larger Sikorsky HH-3 "Jolly Green Giant" helicopters, with greater range, and Grumman HU-16B Albatross amphibians to rescue Airmen who went down in the Gulf of Tonkin.
Air operations over dangerous enemy territory forced Search and Rescue (SAR) to evolve into Combat Search and Rescue (CSAR) teams. A major improvement came in November 1965, when the Sikorsky HH-53E "Super Jolly Green Giants" arrived. Capable of being refueled in flight, the HH-53E helicopters could reach any point in the Southeast Asia theater.
During the Southeast Asia War, CSAR personnel had a significant impact and lived up to their motto: "That Others May Live." They saved a total of 4,120 people, including 2,780 in combat situations. Their individual achievements earned them two Medals of Honor, 38 Air Force Crosses, and numerous other awards. However, the cost was high as 71 U.S. rescue personnel were killed and 45 aircraft destroyed during the war."
In addition, though not as organized
or armed (!!), Navy carriers sometimes used their Tonkin Gulf plane guard helicopters, nicknamed "Angels," to rescue pilots downed during launch or recovery. They were
Sikorsky SH-3 Sea Kings,
Kaman UH-43C Huskies, and Piasecki H-25 Retrievers that were occasionally called upon to chase downed crews into hostile coastal waters, even into Haiphong and other harbors.
This is not to overlook the heroic Army UH-1 dust off/Medevac choppers, and some
may have been used in crew rescues, but in my limited experience, the Air Force bigger SAR helos and occasionally Navy Plane Guard craft did the work outside of South Vietnam. Of course, with a flight crew down, EVERY ordinance carrying craft from O-1 Bird Dogs to A-1 Sandies to B-52 Buffs participated on occasion to suppress hostile capture.
Not SAR related, but in '63-4 when I did an enlisted tour with MACV in the Iron Triangle and highlands, I often flew as door gunner in a RVN H-34, with a M-60, firing
7.62×51mm NATO cartridges
from a disintegrating belt mounted in various ways as we tried them out. This seemed to be the norm for all door gunners until the later Gatling guns, which only Sylvester and Dolph were capable of demounting and using as a personal weapon.
Finally, regarding cargo/tanker personal chutes. As an AF dependent in '55, we flew in a MATS C-118 across the Atlantic in stages from Rhein Main to McGuire. We had inflatable life preservers in the seat backs, and were afforded a pre takeoff demo, BUT I noted a large pile of parachutes in an aft compartment, seemingly enough for all souls, and they were NOT MENTIONED. I later rode as a CAP cadet in C-46s, C-47s, C-54s and KC-97s, and for a while, fresh chutes were loaded without mention to match people, but that practice ceased without notice. I do recall a C-119 incident about then where it lost an engine, descended into icing over TN, and all on board successfully bailed out, including a neighbor, but that was the last I know of.