The modification to the Lee collet die is not the end of the world. Below is a Lyman type "M" expander for the .223, the second step is slightly larger than the bullet diameter. This aids straight inline seating reducing bullet runout and can be used with jacketed or cast bullets. And a taper crimp or a slight standard crimp will reduce the case mouth diameter and aid feeding.
Many pistol dies now have the type "M" expander because the Lyman patent expired. I have two Redding pistol dies with this type of expander.
Below you can see how this type of expander allows the bullet to start straight and not be tilted during seating. And I have a Lyman type "M" expander for all my pistol and rifle calibers.
RIFLE NECK EXPANDING M DIES
https://www.lymanproducts.com/rifle-neck-expanding-m-dies
Improves accuracy of cast and jacketed bullet reloads. Doesn't stretch cases as does standard expander button. Extends case life. A "Must-Have" die for the cast bullet or flat-base bullet user.
The first step expands the inside of the case neck to just under bullet diameter for precise case neck tension in the finished reload.
The second step expands the case mouth to bullet diameter or slightly over. This allows the jacketed or cast bullet to be started perfectly centered in the case mouth and properly aligned with the axis of the case neck.