"106 draws do not preclude the possibility that, say, 1 in 200 games between the two players would be decisive?"
++ 30 games are ongoing. What is your bet at least one of those ends decisively?
I am happy to take a bet with you on this, I can give you odds that are very generous (given your state of belief).
If none of the games ends decisively, I will pay you one penny, and if at least one of them ends decisively, you will pay me $1 million or you net worth after liquidating assets, whichever is the smaller.
With certainty in your position, how could you refuse such a safe earner?
"The odds of that are the same"
++ What is your bet that any of the 30 ongoing games will end decisively?
I don't gamble...something you should learn yourself for this ill-fated endeavor.