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Oh, its worse than you think.
https://www.cs.princeton.edu/~arvindn/publications/mining_CCS.pdf
Once BTC hits enough halvening-cycles, the entire protocol doesn't work anymore. Its more beneficial to fork the blockchain (and collect ~50 transaction fees), rather than work on the head (and only collect ~5 transaction fees).
So if the last block confirmed 100-transactions (aka: collected 100 transaction fees), its more beneficial to undo that block and "steal" ~50 transactions, knowing that you're leaving ~50 transactions for another miner to follow onto your block. (Ex: there are now two blocks: one with ~5 transactions available, the truth... and ~55 transactions available. The lie / false block you created. The lie is more economically beneficial to the next miner, so they'll switch to your block).
It turns out that BTC forgot how to handle ties after the end of the "Free reward", and there's a good chance that "definitive record" is not so definitive.
What's wrong with that though? BTC handles forks just fine. Eventually one fork will win out and life will continue on as usual.
The bigger issue this paper presents is that miners become incentivized to mine empty blocks. But can't you just enforce a minimum transaction count on blocks?
Miners can just create their own nonsense transactions.