I believe it is actually a closed door near drop 1 and the name is now Brier Bear because kids didn't relate!
It's spelled like Br'er Bear (but more commonly Brer)...it's short for "Brother". That's too bad they changed it, Rufus and Br'er Bear were retired pretty much around the same time in 1986. Thank goodness there's no bear in the Pixar canon yet, otherwise I guarantee they would've found some way to slip that reference in there instead.
I remember as a kid Rufus always used to scare me. I mean, as a small child you don't know much of a difference between a cartoonish-style bear snoring and a real grizzly bear. I was always afraid that he'd wake up while I was walking through the area. It's just simply amazing what truly terrorizes a child. Who knows what seemingly innocuous things at Disneyland today are terrifying little 5 year olds.