Yah-- I'm not even quite talking about that, though. Whether someone else is better qualified to help in a given circumstance or not, we're conditioned to not get involved because someone else will. Hence, the bystander effect, which stops people from being helpful even when they could.

I have first aid training, too, and my impulse is not to rush to help but to look around at other people and see if they're going to do something.