LBusy,
The Dillon dies I have are made with a wider sizing die mouth radius than my Lee dies, and are dimensioned to minimum spec, where Lee dies are not as tight. They also have a spring assisted decapping pin reset to help knock spent primers out. These features are to ensure smooth progressive operation without stalls or hesitations due to catching and crushing the corner of a straight wall case's mouth, or a thin springy case not resizing enough to hold a bullet well or failing to feed in a self-loader, or a partially ejected primer from jamming the shell station rotation. In addition, their bottleneck rifle dies use a carbide expander ball, which I've found less prone to pulling necks off-axis than steel expander. (I retrofitted my Redding rifle sizing dies with carbide expanders twenty years ago, and used in conjunction with dry neck lube, they come close to eliminating the neck runout problem.)
That said, you can certainly use your Lee dies. Just have the expectation that with straight wall case's, if you have some catch on the case mouth, you may have to raise the ram slowly enough to center them, and that in all instances you want to watch (or listen) for the primer to drop before starting the downstroke.
