If you want to use the word "determinism" in that sense, then a far better definition would be "the voting outcome is not affected by anything other than the votes of the voters", which my system does hold to. As I said above, I haven't claimed to found a flaw in the mathematical proof of Arrow's Theorem, just a mismatch between the content of the theorem and how voting systems work in real life. Certainly, in real life, we should want to distinguish between "a vote between the Democrats, the Greens, and the Republicans", and "a vote between the Democrats, the Greens, and superintelligent UFAI", even if our preference order is the same in both cases.