Yes he is fine as far as I know. First Aid training does not in any way give you medical qualifications or the knowledge to diagnose. However I did advise him that he had been unconscious for at least 45 seconds and must seek medical advice.
I first did an extensive first aid course because I am a qualified sports coach. Two weeks after i finished I was actually witness to an awful accident involving one fatality. Nothing to do with work , it was on a road , but , yes I agree with you , presence of mind , follow up in your training is essential . I did annual refresher courses with exams .