And it still would. Non-collusive miners cast votes based on the outcome of their own attempts to double spend.

Individually rational strategy is to vote for coinbase reallocation on every block.

Yes, in that case nobody will get reward. It is similar to prisoner's dilemma: equilibrium has worst pay-off.

In practice that would mean that simple game-theoretic models are no longer applicable, as they lead to absurd results.

I'm using it in the same sense Satoshi used it. Honest miners work to prevent double spends. That's the entire justification for their existence. Miners that are deliberately trying to double spend are worse than useless.

Miners work to get rewards.

It absolutely doesn't matter whether they are deliberately trying to double-spend or not: they won't be able to double-spend without a collusion.