Common rolled brass rod will come with stress/forming lines you can't remove with annealing,
While drawn cartridge brass rod won't have that issue, annealing will allow you to neck down to your heart's content.
Keep in mind that cartridge brass is 'High' brass (high zinc content),
Rolled brass rod will be 'Low' brass, suitable for sheer pins and the like, but not cartridges.
Die drawing usually leaves the brass around 95-100 Rockwell B scale,
Which is about as hard as military case brass at the head stamp.
(Easier to machine hard brass)
So annealing the tops before you try to taper/form a shoulder is going to be a requirement.
Normally brass starts to split the necks at high pressure around 95-105,
Factory new brass shows up at around 65-75 Rockwell B, and when I'm conditioning brass or producing brass I look to get that brass neck/shoulder down around 70-75 Rockwell B before final sizing.
With 'High' cartridge brass, that's 700*F. To 730*F. Saturated all the way through.
Stay under 750*F. Or you will over cook the brass. Zinc starts to come out of alloy at around 775*-800*F. And you will have burned off all the trace minerals that give cartridge brass it's unique properties...
While you are playing with annealing, everyone starts with gas,
Watch for flame color change, that is combustable/vaporizable components of the brass being burned off, the brass alloy is forever changed.
Ruining a couple is a good way NOT to ruin the rest, so you know what you are looking for,
Like seeing that 'Puff' of smoke coming off the brass, that is Non-combustible components of the brass alloy escaping the brass, again altering the alloy forever.