Iterating a precomputed list is a method of generating random numbers. It is used in the one time pad. Whether we iterate a precomputed list or use a pseudo random number generator, we can short circuit the random number generator using this trick. We cannot directly choose the output values, because then it would not be random.
They’re proposing choosing the output values randomly according to the distribution obtained by choosing input values uniformly at random for the original algorithm.
That removes the random element to this. The way that random numbers work is that it is possible (although unlikely) that the minimum and maximal values in the range will not be selected when generating the million random numbers. If you assume that they will always be selected and thus always return the same output, then your output will be wrong at least some of the time.
