I refurbished my second-hand Ashford lazy Kate by replacing the make-shift pins with real manufacturer's parts.
So nice to have fixed it. Somehow when an item is cobbled together and functional but isn't quite right, it preys on the mind. I came across the replacement parts by chance on the Woodland Woolworks site.
I don't use the lazy Kate very often, because Andean plying is more comfortable, but the next time I do use it I will try clamping it so that the bobbins sit at a 45 degree angle. I want to see if that acts to give them some drag and improves my ability to manage the strands.