Schmidhuber is salty because he believes he invented the ideas behind deep learning and has never gotten the proper credit. So, yes, he wants the Turing award to go to him.
It's not an argument without merit. His work on LSTM and related ideas were really important to the field. And, as with all heroes in science, the deep learning triumvirate of Bengio, Hinton, and LeCunn get most of the credit but were building on lots of existing work from researchers who don't get their due. But, as with all awards, you need to draw the line somewhere.