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Indeed, so we’re back to using the mainsheet to manage the mainsail through a controlled gybe and a preventer to prevent an uncontrolled gybe. Thread conclusion seems to be that a boom brake serves no purpose other than for those who wish a gybe to be controlled without needing crew intervention - perhaps ideal for solo sailors.Although I can't see how a brake fitted at the end of the boom would work.
The stern of the boat isn't wide enough to form a sensible shaped triangle with the boom out on a downwind position. It would just replicate what the mainsheet does as far as I can envisage.