I have observed a couple of things as a medic.
One diver, who suffered quite a bad BO - Finished his SP 20 minutes later. He had regained conciousness, everyone who was around him was calm, and although he was back with us and talking ( albeit his 02 sats were very low even on O2 at 6l pm, resps were low and BPM was a little irratic) , he wasn't fully alert, not until something in his brain triggered, and remembered where it last left off, - spuring him into doing his SP on a beach wondering why we were all grinning at him, and saying " no your not" after he had finished saying" I am ok"
In contrast, a diver who blacked out mid stroke in a pool had a harsh ride to the surface as his safety pulled him up by his neckweight, was then moved poolside in a pretty rough and tumble mannor, where his mother was screaming out hysterically, " oh my god [insert divers name here] oh my god ( apparently dad was about to punch out one of the judges who wouldn't let him through to get to his sons side) - needless to say things were rather rowdy and stressful. This diver was unconscious for an unusual period of time, AND started to seize. This particular blackout was probably worsened by the pressure created on his trachea and carotid arteries etc by being dragged up by the neck weight, but is the only black out that I have been present for that exceeded 40 seconds, and took the diver quite some time to show full signs of recovery ( peripherally shut down for 15 mins or so while on O2)
So - from my experience I would say the calmer the rescue, the better the experience would be for all, and the easier the brain, which is still active, as mentioned above is subconsciously able to process sound and sensation, can recover.
I suggest practicing as much as you can, this doesn't mean going out and waiting for blackouts to happen. My partner and I practice recovering each other from the bottom of the pool, rendering TTB at the surface, moving each other to the side of the pool ( while the other plays dead - good thing about apnea - you get pretty good at this bit!:t ) at least once a week, when we have had to recover divers, we do so with much more ease and calmness than we did when we first had to do it.