Hard to say without seeing how it split. Obviously a uneven split will have more strength if glued and perfectly mated back together than a smooth split. I would be tempted to put a screw in or a peg. Depends how confident you are with such work. I recently glued a split Mercury stock but added a peg for good measure. OK it is easily seen but kind of adds to the character. Once something like that happens I would personally prioritise restoring strength and functionality over trying to make it look exactly as before. Don't suppose one would with a Purley though...