Powder in Grains
Pretty much all reloading information regarding powder charges is calibrated in grains (7,000 grains to the pound). While some manufacturers sell measures that have a predetermined volume, the basis for that volume is what a specific charge of a specific powder would weigh if checked on a scale. In the case of Lee, he sells plastic dippers that have been calibrated to provide a specific amount of powder that is the same as what the powder would weigh is put on a scale. Your adjustable powder measures (Uniflow, Dillon), do the same thing, adjusting the volume of the measure either increases or decreases the amount (volume) of powder (and it's weight in grains) accordingly. Don't confuse volume and weight, they are apples and oranges.
The other issue is that of case volume and powder positioning. When a load of powder fills the case so that there is light compression of the powder the velocity of that load will be more consistent between rounds. Generally though that can only be obtained in rifle loads. In pistol loads you generally will not fill the case (which can and has led to double charging), but you want to make sure you don't double charge a case (a problem with progressive presses if you aren't paying attention to the reloading process). The key is understanding the basics of the reloading process, and paying attention to detail.
When using progressive presses and adjustable powder measures, you should always check the thrown powder charge using a scale prior to beginning to reload and then every now and then during the reloading process. I had a Dillon 550 for 20 odd years and never had a problem with it. On the other hand I have two sets of Lee powder dippers and will use those when I am throwing together a small number of loads for some caliber I don't use much.
If you reload for handguns, you will find weighing each load a tedious and time consuming process, but some people do exactly that. To each their own. I generally set the powder measure and then check it whenever I pull it off the stand or change the powder charge.