I have used a Lee turret press for loading .223 ammo but you aren't going to run through them from raw fired brass to completed round like you can with handgun ammo.
I start by prepping the brass prior to loading. When I want to load .223 ammo on the turret I use the already prepped brass and on the turret I prime, drop the powder on press and seat the bullet on press. You can also crimp at the next station if you wish. Using the currencies speed up the loading if you already have brass ready to load.
Since I'm using a ball powder (H335) it meters very well with the Pro Auto-Disk I have mounted on my turret press using a double disk kit.
You CAN use a Lee classic turret to load .223
IF you have these 4 things accomplished first.
1. The brass does not have crimped primer pockets OR the crimps have been dealt with.
2. The cases doe NOT need to be trimmed. (A simple process of learning how much any of the cases will grow ,(get longer), when/after sizing.
3. Applying lube en mass like spraying in a container with a lanolin type lube.
4. You're using an auto powder measure, AND an auto primer both made by Lee. (The auto drum and safety prime.
Simply pick up a lubed case, raise ram, size, while the ram is up cycle the safety prime, prime on down stroke. The next up stroke activates the Auto drum, so it's now charged. The down stroke rotates to the seater, seat the bullet. I don't crimp .223 so the 4th station is empty, a half stroke presents the sizer to start the next shell.
As for the lube, I run 100 cases in bare walnut tumbler media for 10 minutes in my FA vibratory tumbler,,--presto lube gone!