I wasn't going to post in this thread because I haven't tried the Lyman Carbide ball/shaft in .223. I did buy one in .308 during a test on resizing machine gunned 7.62 LC brass. I was testing ways to get better concentricity when using an plug expander in hard-to-size machine gun brass. I was told that carbide plugs deformed less. In that case it deformed my LC brass more. I think it was caused by the plug's shaft being way too small in diameter and it flexed during the extraction from the case. The original RCBS plug's shaft was way thicker, and did not flex. The pictures above in .223 don't show that diameter difference....in fact the opposite. But is the black Lyman shaft steel, or graphite? I think mine was graphite and it dang sure flexed.
Maybe there's nothing to glean from the experience, since you are sizing .223, but I share what I learned anyway, and you can ignore whatever you want, or at least be aware the possibility might exist, that it might not actually improve anything and might even make it worse.
In my .308 experiment, I ended up polishing the stock expanders and it helped quite a bit. After polishing I averaged .001" but I sized then turned the brass 120d and sized again, repeated....in thirds. Yes it will work harden....means you might want to anneal after shooting them, but I got really good results.
That was an experiment. Do I advocate such. No. It works, but I'd rather buy Forster and have Forster ream my sizers to what I want and do away with the expanders, period. If you buy their sizers they will ream them for something like $12.
Caveat? Yup! You have to buy sizers for each cache of brass you have that has different thickness in their necks....or inside ream the necks, post sizing, to make them all uniform. Forster makes those reamers too.