This authors use of 'non-determinsistic' doesn't match the meaning of a Nondeterministic Turing machine used to define the complexity class NP.
There are many types of non-deterministic Turing machines, like a probabilistic Turing machine which flips a coin at each step.
But the 'maximally lucky guesser' or 'run all possibilities in one step' version of NTM's that defines NP is physically unrealizable.