Even if the dice screw you, there is no luck involved in maneuvering.
If you are skilled at maneuvering, and at predicting your opponent (definitely a skill. See Poker for an example), then you should consistently place yourself into positions where your green dice won't be used at all, making their incompetence irrelevant.
Folks started to realize this with the Phantom, but I've been preaching it since Wave III, on the "Hypermobile B-Wings".
Think of Greens as being a safety net in case you fail to place your ship properly, and you'll get much better at the game, in my opinion.
I realized that when i bought the core set. Fire arcs are awesome, which is why there are so many forum threads about fat falcons, and why my friends hate my 4-plY list.