Komodo wrote:
Is it possible that technically the second stage does not work when the first stage has a free flow?

Yes it is possible, however unlikely. The most common cause of freeflow in England is due to regulators "sticking" i.e. freezing open. The unused one
should be okay, but I'm sure someone out there has had a double-failure, even though it is incredibly unlikely.
As tropical said, you would be wasting air using the octopus, not to mention the air wouldn't be coming out as quickly because it's being drained by your primary.
You want to be comfortable breathing from a free-flow in any case, you can take some air and chill out while you decide what to do