That's interesting. I'm not familiar with formal potentials, but does the associated word "activity" signify something to do with the fact that manganate and peroxide are in different states?
Also, I appreciate what you're saying about the strong acid, but the Cannonfire demo doesn't need strong acid. You mix ethanol and hydrogen peroxide, ignite it and then add solid potassium manganate.
But on the flipside, since the reaction mixture is set on fire, it will be above the temperature of standard conditions and with concentrations that doubtless vary with standard conditions.