I'm not an economist or a quant, but it seems to me that if the efficient markets hypothesis is true as applied to stock markets, then it should not be the case that the market value of a diversified firm is any different from the sum of its parts over the long term. (I already disbelieve EMH anyway but this seems like an independent reason to be suspicious.)
@wollman A basket of options is worth more than an option on a basket (prices can't go negative but components of a sum can), how does that contradict EMH?