Accuracy comes from good form and properly matched arrows. Without good form you will never be a consistent shot.
A longer stabilizer lets you see how much you are torquing the bow. Simply screwing a threaded rod into your stabilizer insert during a few practice sessions will let you see how much you are torquing the bow and help you to improve your form.
Some bows benefit more from a longer stabilizer than others but most of the new parallel and beyond parallel limb bows do not need a stabilizer if you have good form.
If you have trouble paper tuning your bow that is a good indication that you do not have proper form. I have seen guys spend hours trying to paper tune their bow and never get it to shoot "clean" simply because they do not have good form.
