Betting on his team to win, not lose, is irrelevant. That means not betting to win is information; plus you would use/rest players based on your wagers.
"I'll use my closer once more on short rest knowing he will be useless for a week, but I have money on today's game."
"Can't bet to win today, my star player is banged up."
"I'll rest him today so he's fresh tomorrow when I'll place a big wager.
Etc. Etc. Etc.
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