To be fair:
You shouldn't rely on the randomness of the hash if people are betting on it. Especially not after the hashing.
If you have a miner who stands to make more on the bet than they would on the block subsidy, the economics can favor them getting a hash low enough to make a block, but then withholding it, looking for a hash low enough to make the block *AND* having a final digit that will win them the bet as well. They risk losing the block subsidy if another miner finds a block first, but they can also instantly release the block they found the first instant they get a whiff of the other miner's block, and then they have a nearly-equal chance of getting the block subsidy anyhow. Meanwhile, they go on looking to win the bet.
So, according to you, if this game goes big, miners may not publish valid blocks and thereby disrupt bitcoin block generation altogether?