I have a JGS .308 Obermayer (state of the art 20 years ago ;-). My only complaint about it is that the throat is too short to use Lapua 155s well (ideally the throat should be about .150" longer for them). That's not as big a drawback these days though as the other peer bullets (Berger 155.5 and Sierra #2156) work well out of it.
For safety reasons I would avoid using an "intermediate-tight" neck, by which I mean something smaller than .343" but large enough to perhaps allow a piece of factory ammo to plausibly chamber. If you have a .333" neck there is no risk of you, or a friend borrowing your rifle, or somebody you sell your rifle to, or a friend of somebody you sell your rifle to, of chambing a piece of factory ammo because it simply won't fit at all. But if you have a .336" or a .340" neck, then there is a very real possibility of just the wrong things happening and having an accident happen.
While by BR standards Obermayer chamber is "wrong" and also "unnecessarily sloppy", it does shoot quite accurately. The necks of my fired brass are .343", I run them into a neck bushing die (.336 for my out-of-the-box Lapua brass if I recall correctly). Even though by BR standard I am working the neck way too much, it does not have a noticeable effect on my brass life; I have no idea if they'll go 10 reloadings, or 20, or 30, but I don't have any cracked necks and it simply isn't an issue.
If I were buying a .308 reamer these days I'd probably buy one of the newer reamers designed for Target Rifle shooting. Some of them have slightly longer throats (they are designed to pass Bisley's "Rule 150"). Or even more likely I'd get a copy of the Kiff reamer made for the 2011 Canadian Palma team, some good work went into that.
A nice thing about using a somewhat-longish leade is that you can shoot all three of the good 155s (Lapua 155, Berger 155.5, Sierra #2156, and also possible the new Berger 155 Hybrid but the jury is still out on whether that is an easily shootable bullet or not), and you can also shoot the Berger 185-BT (which I think more and more F-TR shooters are going to move to), or the 210-class and the upcoming 230-class target bullets.