It’s related. Your actual gains = (Fee * winnings ) - opportunity cost.
The effective withdrawal fee is 1 - (actual gains / ( winnings - opportunity cost)).
So if the actual fee is 10% your winnings are 2$ and your opportunity cost is 1$ them the effective fee is 20%. In other words a 10% withdrawal fee dropped your actual gains from 1$ to 80 cents.
However if your winnings where 1,000$ then your effective withdrawal fee is 10.01% dropping your actual gains from 999$ to 899$. In other words fees are more impactful on high probability bets than low probability bets.