Would that not be a bit of a tight squeeze sending a jacketed .312" bullet down a .308" bore? Anybody have any issues with this? Lead should be ok.
Most .32ACP I have found is .310-.311".
A .311" cup and core bullet will swage down pretty easily. You can resize jacketed factory bullets with a Lee push through sizer without much trouble. Just needs case sizing lube instead of alox.
I've shot .311" hard cast in .308's and .461" in .457" a lot and never had an issue. If it was a solid copper bullet I'd be really careful.
A lot of .32ACP ammo is also TMJ, not FMJ, so they are really just copper plated lead.