I can find no such implication, at least not one that outweighs the opposite view, ie the General overrules the Brigadier for just that one order.
However, having pored over the V2 rulebook for the last two hours, I would like to make an observation.
Page 110 refers firstly to the basic rule being discussed above, but it then moves on to four other types of general which we can employ in our games.
“Commander in Chief” is basically reverting back to the general in the V1 rulebook.
“Battlefield general” appears to be a walking God Of War and can do the V2 procedure (whichever variant comes out on top) for all brigadiers within 12” of his heavenly presence.
“Warrior general” likes to get stuck in, personally running a brigade, and possibly overruling subordinates as per the V2 procedure.
“General with ADCs” is a communicator, and likes to spread his influence far and wide across the battlefield, by sending several junior staff officers off with his written instructions.
At the very least, these various types of general give us options that do not tie us down to the fractious conundrum above.
Is there a rule for divisional or corps commanders to get up to six rerolls of failed command rolls?