IMO, the OOG diver is already in a stressful place. You are in a less stressful place, and thus better equipped to handle a fresh breath of gas. As Lynn said, diligence in pre-dive checks (and I might add, diligence in servicing/maintaining the gear) goes a long way. Since the secondary is bungied under the neck, it is less stressful for you to find, recover, and use. If you find that it's not working, then at least the person who needed gas the most (hint: not you) has been able to get some and get back to a safer state of mind.
A calm diver can control a CESA on that breath of air much easier than a panicked diver who feels like they're about to breathe water.
As for those contemplating Bob's solution, I have a much easier one. Just carry a third hose, ready to strategically deploy if necessary. Leave the poor donkey on the surface, your dive buddy will be sufficient. It helps to dive with the most obnoxious person on the boat, the one-up guy. If you're that guy, then I suggest having a A-hole (as opposed to the P-valve) installed on your drysuit with the proper catheter insertion.