I've seen the same problem over the years with pointy bullets and certain seating dies that do wonderfull with good old lead tip bullets. Lately I've been experimenting with an idea that seems to be helping.
I have the cases charged and ready to seat. I then take an old worn out q-tip that has the remains of some imperial sizing wax on it from old applications. I lightly rub around the case mouth enough to leave just a trace of wax at the enty point and the bullet seems to start much easier and the runnout has improved on the few batches I've tried it on. I'm not sure you can ever get the wax off one of those old q tips so I may have a "lifetime" applicator there.