I will find out. I have a one-year old girl, so I work slowly at the moment ;-( When you say: "BTW, a market order placed to a broker pre-open (before the cut-off time) becomes a MOO order...," I assume you mean the order will participate in the auction and get filled at the official opening auction price. If instead you mean it will be placed as a normal market order at the beginning of continuous trading, please give me a heads up.
E-trade do not offer market-on-open orders. Nor do they offer limit-on-open or limit-on-close orders.
to put it gently, they not a firm for professional traders. therefore you pay a high price to have an account there.