Tapered cases are always harder to size in carbide dies. Look at the .30 carbine, it's always been a bear to resize, especially when you consider how small it is.
Dillon makes carbide sizers for .223 and .308 but they specifically state that lube MUST be used with these dies.
If you're having a tough time sizing, a little case lube certainly won't hurt anything as long as it's removed so that it can't contaminate primers or increase case head thrust when the round is fired.
Another trick that may help is polishing the cases for a couple of hours with Nu Finish car polish, really clean cases with a little wax or polymer on them seem to run more smoothly through a low friction die.