As another surfer, I have quite a few times helped rescue surfers and swimmers in the sea whilst surfing, I have towed people back to beach, pulled swimmers out of rips, used my board as a flotation device for swimmers and helped organise a search on a beach in Bali where we saw a guy doing the ladder climb and disappear - he was lucky and was pulled off the bottom and survived.I was surfing at Sandbridge Beach near Virginia Beach during a hurricane. I took a break and strolled into the local convenient store wearing a red lifeguard rain jacket.
"Are you a lifeguard?" a woman behind me asked. I said I was. "Are you one of the lifeguards who rescued us yesterday?" I told her I was not. She went on to tell me that she was a member of the local dive rescue team. They responded to an emergency and all four members of their team got in trouble. A few lifeguards from VBLS swam out to rescue them. The dive team had been dispatched to a surface rescue because they had a boat. In the end, lifeguards had to rescue the rescuers and the victims.
I've made three rescues of public safety divers myself (2 volunteer fire rescue divers ran OOG, panicked, and surfaced, and 1 near-drowning of a major metro SWAT officer/diver due to an overweighted drysuit).
Even the "professionals" can get into trouble. The term "rescue diver" is considered to be a misnomer in the sport by some because it implies something like lifeguard status. Lifeguard courses are also being dumbed down to the point there is something called "shallow water lifeguard."
The industry should teach buddy assist at the open water level and rescue skills expected of buddies at the AOW level without the flourish of a C-card. For a true rescue diver course, the standards should require students first pass an old-fashioned Red Cross advanced lifesaving type course combined with dive rescue skills. The dive count needs to be higher or the skills sharper than current standards. Any rescue diver who wants to stay rescue-ready should keep a current open water lifeguard certification such as Red Cross Waterfront Lifeguard, keep current DAN, PADI or NAUI (or equivalent) CPR, First Aid, AED, O2 Administration, Marine Life Injuries and Wilderness First Aid certifications, practice rescue skills bi-annually at least, and maintain a Cooper Fitness Test level of "good."
I once had to run down the beach to grab a rescue board in Lanzarote, jumped in fully clothed with wallet and phone dropped in the sand whilst groups of tourists watched and did not react, the lifeguards whose board I grabbed where smoking and chatting up girls just 20 metres away from the board and completely missed a father and son where caught in a rip screaming less than 70 or so metres from them and were just a few seconds from drowning. My wife had no idea what i was upto when she saw me sprint for the board and enter the sea.
The worst I have seen was where I helped partake in a mass rescue of maybe 20 in a the remnants of a typhoon swell, where two ended up having CPR on the beach (TV cameras arrived before the medics) and I ended up 10 mins later helping to rescue a lifeguard who had run out of energy keeping a girl afloat whilst his colleague where on the beach doing CPR and did not realise he was still in the sea, he ended up getting dragged with victim into rocks. They both survived.
Luckily I have never had anything major happen whilst underwater and am unsure how I would react but do feel surfers are probably the most competent waterman and rescuers out there, they are quite comfortable swimming in swell, can use rips, aren't scared about hold downs and holding breath, do not panic and inherently understand water safety more than most water users.
I whole heartedly agree that we all need to keep our skills and first aid certs unto date.