I like what you said here. Most of the time I get to play Global we play with a big group (4-6 players… even 7 sometimes).
Typically, there is one or two players on each side who know all the rules and have played many times- we look out for the newbies- even so far as “hey, you didn’t move these units in South Africa- do you want to move them in NCM?”
Agreed on the dice- when they start rolling, no takebacks. However, anything else is fair game, within reason. Its Japan’s turn and russia forgot to move his eastern troops? no problem! You didn’t collect your money last round? Ok lets fix that.
One thing though- sometimes early in the game when a pivotal battle happens- say, an early USA/Japan fleet clash or early stack battle on the eastern front and the dice go ALL one way to the point of absurdity, then we may redo it. Sometimes its even the attacker who says ‘man that was crazy, I don’t want to win the game because of dice. lets try again?’
Or if someone forgot to move troops to Berlin with an allied landing force in range- heck man, we’ve played for 6 hours, you are doing well in Russia (and we want to see where it goes), Japan and USA are about to have an epic fleet battle, and you make the game over because Germany made a mental error because its midnight and we are all tired? We don’t have time to play a whole new game, and this one is just now getting interesting. We tell the German player to fix themself.