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It fits in with the overall theme of adding unnecessary complexity:-?

Uses the D4 motif that this variant is based on? If anything, why have a coin flip to resolve the tie? Just re-roll the D4 and stay in-universe

In that case you could roll a single d4 and give one player the odd numbers and the other player the even numbers.

With the additional advantage that the original rules need 2d4, but only once, at the very beginning.

How does one decide who flips the coin. Whoever flips is at a disadvantage since the coin is flipped on a tie of die roles. The outcomes of the flip are another die roll or the other player goes.

Also quite strange that you can't quit until there are 3 pieces per player left. How is that supposed to be enforced? Domestic violence or something?

I guess this might be due to using the same dice to decide how many moves you can do in each turn.

I think they're non-binary.