To me, as far as defining goes... The use of the (') in the name means a lot. If it were Disney Hollywood Studio(s)
then it would imply that everything in there is Disney. Using Disney's Hollywood Studios means that Disney is showcasing Hollywood Studios. No one specifically, but the mix of many. Having movies, music, animation and live acts creates that mix. So, in my opinion, yes, it does completely live up to it's name. Now that is out of the way, is it in need of a major overhaul and filling of dead spaces? You bet it does, and it needs it soon.