My metalurgical knowledge is very limited, but from what I've seen with most cartridge brasses I don't think it matters.
Rifle cartridge reloaders sometimes anneal their case necks – though the value of that is somewhat under dispute – and those who do usually use variants of 2 methods:-
i) stand the cases in shallow water in batches, heat the necks together with a blowlamp, then knock them all over into the water to quench, or
ii) use a turntable-type machine that passes cases one-by-one past a gas flame (or sometimes an electrical heater) before dropping them into a receptacle. In this method I haven't *usually* seen them quenched.
Of course cartridge case necks are thin, and can be expected to cool pretty quickly in ambient air whether quenched or not, but your material may well not be thick enough to differ significantly. I'd try it both ways with a bit of scrap brass if you've any available.
There's a very clear requirement in caseneck annealing NOT to anneal the main case body, especially the base (or 'head' ) area, in order to retain strength. Method i) has some advantages in that respect, but considering the typical application involves maybe 10 -20 mm of water in the bottom of a shallow tin tray, a seriously slow cooling of the annealled part would require more elaborate arrangements than I've ever heard tell of.
Edited By Mick B1 on 01/12/2019 08:53:28
Edited By Mick B1 on 01/12/2019 08:54:02