Sorry, I meant "trading day" and for some reason wrote "expiration day". PS. with the increase in street-wide S&P variance positions, the wild-card optionality is worth more, but OEX does not trade much nowdays. PPS. another aspect of American optionality is when the funding on the intrinsic value is worth more then optionality - which lead to some non-efficient ex decision during the funding crisis
Re your pps: I remember boxes trading over intrinsic because of this. But it all became bust. No one needed to exercise anything. Citi was trading at a dollar and the implied borrow was a dollar!