I'm not a Benchrest shooter, but I do dabble in NRA Highpower, both Across The Course (200-600yds) and Long Range (600-1000yds), as well as 'precision rifle' aka tactical matches.
One, it seems like it does matter a bit what kind of powder you are using. Something that meters like sugar, like Ramshot TAC or Win 748... there's just not much point in weighing it, period. The powder measures throw it close enough to perfect every time. The short extruded powders like N140, Varget, RE-15, and H4895... for short yard lines (200-300) I think it'd be damn hard to really tell the difference btwn weighed and thrown charges on the target. I haven't been able to yet. The possible exception would be if you are running a red-line load, or happen to be right on the ragged edge of a 'node' to begin with. In the center of that node, you can throw all day long. Right on the edge of it and you might see a strange shot here and there w/ throwing. I tend to try to find the center of the node anyway (okay, the 'upper' center ;p ) so it doesn't much matter to me. A long extruded powder like IMR 4064, H4831, H1000... I think throwing becomes an act of faith here. Most powder measures start throwing some pretty wide spreads, as much as plus or minus a half grain (!!!) w/ some of these big stick powders. You can throw if you want, but it makes me uneasy. Uneasy and lack of confidence in one's load is not good.
Two, and this is kind of related to One... short range aka 'point blank' BR shooters throw charges almost exclusively, and obviously, do very, very well doing so. A lot of HP shooters throw charges and load progressively, but a surprising number still load on a single stage and weigh charges, at least for 600yds and beyond for the mental factor if nothing else. I'm not sure I've heard of a serious competitive BR shooter playing the long range game (600-1000yds) that throws their powder charges... but then they tend to use the big nasty log stick powders mentioned above, and the level of consistency they require just can't be done w/ a measure and those powders, even the one or two that digest stick powders OK (Lee Perfect Powder Measure, w/ the teflon wiper... you laugh, but the $250 Harrell's I've seen gagged on Varget, much less H4831!). These are the guys purchasing laboratory grade scales that read down to btwn 0.01-0.03gr (single kernel of stick powder) in efforts to minimize ES/SD. I'd rather doubt they'd be doing that if volumetric measuring worked for their application!
In summary, it seems to be a matter of what kind of powder you're using, how far you are going to be shooting (i.e. is the velocity variation going to actually affect your shooting), and the level of precision required (yes, HP targets are a bit on the generous size compared to a competitive top-level 600-1k yd BR group). No big surprises here, and no big absolutes. Test it, see if it works for you, and carry on!
YMMV,
Monte