One aspect of a mandrel is it can be a two step diameter..... where the business end,is larger than towards the shoulder. Can't be done sizing from outside,bushing or conventional.
On a stepped mandrel you can also have a flare above the second step... if you need it for cast. One advantage of a step is in alignment of the bullet before seating. Instead of just sitting/balancing the bullet on top of the case, hoping everything goes well during seating..... with the step,the bullet goes in the case a smidge(moreso than just a flair).
I make spuds(mandrels)for Lyman M dies,and make seater dies...along with seater stems. Don't want to sound preachy but,I just don't trust a seater stem(or die) to correct any misalignment. It is especially easy to test. Now admittedly,it's a bigger problem with cast but;
Once that bullet starts it's journey into the case neck during seating op,that initial cpl thousandths sets the angle in stone. Or at least,has a very strong influence. Once I started concentrating on getting very low runout,before seating..... finished rounds come out durn near perfect. Tough for me to put into words. Could show you in under 30 seconds.
Custom spuds are stupid easy to make on a lathe. Their "finish" is another interesting,almost can of worms. Smoother,finer finish isn't the panacea logic would indicate. Make a cpl,testing the final finish....