I guess the other way to deal with this would be to run the cases over an expander mandrel (the same one you used before turning) pushing the donut out to the outside and then outside turn the necks again to get rid of it.
I always run a Sinclair expander mandrel through the necks as the last step before seating. But I found this does not push out the donut, at least not all the way. The Sinclair expander mandrel die does not support the case neck on the outside, so I think the brass is elastic enough that donut stays on the inside.




















































