Archie: Yep, I can't think of one reason that makes LRFD safer than ASD except perhaps that one could make a mistake going from an ASD steel design to LRFD concrete design, but that's all I got.
That said, if you look at the original question saying "what method is BOTH the most economical AND safe to use in the design of a steel structure..." I would say LRFD would be the answer. It is safe as far as I can tell. Maybe not "safest" but it is safe. It's also the most efficient unless you have a very large live load relative to your dead load. Thus, I would say the only reasonable answer, however against the grain it is, would be LRFD.
Maine EIT, Civil/Structural.