I know when I had my girls 2 years ago, that management fee counted towards the MSN. I was just under the MSN prior to paying the fee so a small amount of the fee went towards meeting the safety net and then I got 80% back on the remainder. My total OOP expense for that fee was not much in the end - maybe $200-$300.
But if things have changed since then, I have NO idea and would be interested to hear what you find out!
Sorry can't be of more help.