I have experienced a few issues with forming 223 into 222, but I think I've overcome them.
First batch was some military brass I sorted out a batch of single headstamps. Formed really nice, no neck dents. Problem was the donut that formed inside the neck needed reaming or outside turning.
Next try I was getting a high failure rate of wrinkles in the necks. Lube amount and type didn't seem to matter (Less/more RCBS/Imperial). Needed 65 pcs to get 50 "good ones". Even annealed before the first firing as 222, I was getting neck splits near the shoulder after 2-3 firings.
Forward to what did work with the same brass.
I made some bushings out of O-1 drill rod 5/8" dia. .313 ID and .265 ID. They fit in these Lyman floating seating die bodies. I set the shoulder angle and location to match a 222 round and use them for the first 2 forming steps; then finish with a RCBS size die. Testing shows a 99% improvement over previous 1 die progressive reforming with the same brass.
https://i.imgur.com/AA7SK2s.jpg
It's nice to have brass that works the first time almost all the time; but I didn't have that. The solution for me was to walk over to the lathe and make some bushings.