My ball turner is the second one in this link.
Ball Turner
I chose to use a slim insert to give good access but it still fouls the workpiece sometimes. I think using a triangular insert would be even worse.
I also made a ball turner for my wood turning lathe using 6mm round carbide inserts and that works very well. I have seen a metal ball turner that uses the same insert but I don’t know how well it works cutting metal balls.