You can do this, but it's not as simple as you might think. Joel Pendergraft made me a reaming die -- the idea was mine, but the machining skill his . . .
We started off with a Wilson blank seater die, where you have that nice reamed pilot hole. Ran the resize reamer in, so the case would stick. On the other end, we bored the die to take a hardened, ground pilot bushing, same size as a chucking reamer.
The bottom if the die was threaded to put in a press. The case was formed & then fireformed without a bullet. After fireforming, it was run up into the die and inside reamed. The hole in the neck is now running true to the centerline of the case, but the outside of the neck may be off, so the final step is outside turning.
But this was for a big, honking 8x68 case necked down to .308 with the shoulder pushed back. I set it up for an"N" reamer (.304), & there was still brass left to turn off on the outside.
It worked well. Over 50 percent of the cases had zero runout on the final neck done this way. Those that were a bit off came out so because, I think, I used a "removable" pilot bushing, which didn't support the reamer as well, & I got in a hurry reaming the neck. I (well, Joel) replaced this with a regular hardened, ground pilot which fits the reamer well over it's run.
The key to all this is, I think, a way to hold the case on it's centerline, & also ream on centerline, which is what that tool did. Doing it any way that doesn't meet these two is apt to do more harm than good.
And remember, once that is done, you have to keep that hole on center, which means outside turning.