Why not? This is the best possible case.
The argument in the original article is that a Touring Machine is limited by the data available to it (even if that data is infinite). This means that the TM can't make a "judgment" because it will always find the same result based on the data provided by the programmer.
QM based randomness means that "new" data is added to the system and the system must now accommodate this new and unpredictable scenario. It is the ability to analyze "new" data that allows for judgment.