I agree,however there's one critical thing we must do,take hold of what we have been given.
Assenting to be saved is critical, but sometimes the person can’t even manage that much.
However, I would grab the line myself if it was in my power to do so, even if my holding on is not necessary.
My kids are lifeguards and do waterfront lifeguarding and practice rescues all the time. The easiest people to rescue are those who let themselves be rescued, aside from the simple cases where you just throw someone a life preserver and drag them in.
If lifeguards are rescuing you, they don’t WANT you to do anything unless they tell you, and then only what they tell you.