I had a 222 long before I had a 223. I had a RCBS 222 Ultra die set, the kind with a micro meter adjustable seating die that has a window on the side for the bullet. I have used it successfully to seat bullets not only for 222 Remington, but 223 Remington and 221 Fireball as well. I does a good job too. I am not sure, but I would think that this type of bullet seater would work for a 222 if it was a 223. There is a shuttle that rides the top of the neck to guide the bullet in it. Since the 223 has a shorter neck, it would ride the top of the neck on the 222. Mine rides the top of the shoulder of the 223 and 221, there is a short gap between the bullet guide and the top of the neck, yet works OK. I just raise the case into the die. When the shuttle starts to raise, I drop the bullet into the window on the side. I then continue to raise the cartridge, fully seating the bullet. Not sure about a regular type die. I have since gotten a Forster micro adjustable seater for the 223 and a Redding micro seating die for the 221 Fireball. I am a little fussy about bullet seating and neck sizing. Not that the 222 did a bad job, I just wanted a die designed special for the case being used.
Good Luck and Good Shooting