You see some reports of volumetric measured stick powder actually being more consistent than what is measured by weight. it is true that less consistent weight means you are not throwing the same amount of stored energy, but stick powder throws get their different volumes by how the sticks packed in the metering chamber of the powder measure. The more tightly they pack, the harder it is for the ignition flame to pass through the powder so the slower their burning rate gets.
Hatcher reported that one year (1920's) he tested two powders with burn rates similar to the later-developed IMR 4320. One was a short stick grain that the arsenal loading machines could meter to within a spread of 0.6 grains, while the other was a coarse stick which the equipment could only hold to a spread of 1.7 grains. Yet the latter powder's ammunition was consistently more accurate and wound up being that years NM load and several records were set with it. Apparently packing and burn rate compensated nearly ideally for charge weight differences with that powder in the .30-06 with M1 Type match bullets.
This tendency of stick powder burn rate to change with packing density makes it harder to be sure what will happen. The 1995 Precision Shooting Reloading Guide had an example from, IIRC, Dan Hackett, of a stick powder load that worked fine when the author loaded it at home, but caused sticky bolt lift when loaded at the range. He finally tracked it down to the vibration in his vehicle packing the powder down while he was driving to the range, lowering its burn rate.
Weighing has its limitations, too. The Norma manual points out powder burn rate can change as much as 12% depending on what humidity it is kept in. It can hold up, IIRC, about 1.5% water by weight, so a high humidity (>80%) charge weight will rob you of that much energy content as compared to a desiccated sample of powder.
So, what's a body to do?
Well, for one thing, you want to keep your powder in constant RH. Norma says they keep it between 40-60% RH until it is packed and shipped. 70% is another common storage number for powder. You mainly want to pick a number you can reasonably maintain and stick with it and keep any ammo you load in advance in that same humidity as Norma points out the powder in unsealed cartridges equilibrates to storage RH over about a year.
Second, use a powder that provides peak accuracy (obviously) and that fills the case well. I think this is one of the secrets of Federal's .308 Win Gold Medal Match load with the Sierra 168 grain bullet. The charge of 43.5 grains of their special lots of IMR 4064 is about 0.5% compressed. That locks the powder grains in place and prevents vibration from compacting the powder and changing burn rate. Note that this does not appear to be an issue with spherical propellants as they don't pack appreciably (the reason they meter consistently). I once pulled down some Winchester Supreme .308 Win 168 grain bullet match loads that had what looked like 748 in them. They charge weight spread on my lab scale was an astonishing 0.05 grains. But it didn't shoot as well as the Federal, which had a 0.4 grain spread in the sample I pulled down.
Third, when I'm trying to make super-precise loads with stick powder, I use both volume and weighing. I have JDS Quick Measure that is very consistent with stick powders. It guarantees no more than 0.2 grains error, and I find it comes closer to 0.1 grains in most instances. Zero you scale with the primed, empty case on it. Throw the charge and keep only the ones that match weight as exactly as the scale reads. You can also throw an intentional half a grain low and trickle up on the scale to final weight on the assumption that adding that last little bit won't affect the packing under it, but I haven't tested it to see if it can settle the powder a little or not. The advantage of the volumetric measure here is that it not only sorts out the powder density but if you leave it set for the same powder it will average at the same energy density of charge, whether the powder has changed moisture content or not.
Fourth, if you want to dispense powder by weight and you can keep your humidity consistent enough, then you want to be sure you get consistent packing density when you move the powder from the weighing pan to the cartridge case. This means picking tha pan up and using the same powder funnel, held at the same angle and pouring powder into it at the same rate every time. Just like working a powder measure, consistency of motion and method get you consistency on the target paper.