Fascinating. But I wouldn’t count watching 1-2-3-1-2-1-3-2-1 as watching 1-2-3, 1-3-2, 2-3-1, 2-1-3, 3-1-2, 3-2-1. It might make sense for some applications, but for watching a series you’d really have to watch each permutation in full.
Why not? It’s the same thing, you just have to change your frame of reference as to which episode was ‘first’ for each permutation
I can’t speak for everyone, but datapoint of me:
I wouldn’t, at all, be able to be in the mental space of “this episode is the third episode in the continuity of 1 2 3, the second episode in the continuity of 2 3 1, and the first episode in a new set”. It isn’t the same thing, practically. Between viewings, you can do a sort of “mental reset” but if theres no “between viewings” and the viewings are in fact simultaneous, I just don’t think its feasible to experience an episode as 3 different points in a chronology at the same time.