I agree. They were both very busy, I'm sure.
But, "Unable" doesn't tell the controller anything useful. "We have a dual engine failure and intend to ditch into the Hudson" sums it up quite nicely without wasting too much time.
Yeah, I know, I'm the Monday morning quarterback, but that is why we listen to the tapes and analyze the result. Hopefully, if I'm ever in a real emergency, I will have learned something from the mistakes of others that will help me get my customers and crew safely to the ground.