You've heard one side, let me provide you a little more.
To begin, much of it depends on the cartridge design, the load pressures you choose to run with, your control over the chamber and dies, and your reloading understanding and attention.
-To begin, FL sizing includes full body, full shoulders, and full necks, at the same time. It's not full body, full shoulders, and bushing partial neck sizing(that's body-bushing sizing). Each of these sizing actions can be handled separately with applicable separate dies. A body die, a bump die, a neck die, various customs.
So given merchandising misnomers here, there can be more to the question of NS -vs- FL sizing.
-If you're reloading a 30-06,, 308, 270, 243, (and many similar) then yes you'll have to size full body & shoulders, and you'll be trimming the case away to changing capacities, and creating bigger loaded ammo runout. These case designs are as far from 'improved' as it gets.
-Runout is caused by and builds with sizing. The greater the sizing area, the greater the frequency of sizing, the greater your runout will end up. When you build & chamber bananas, they do not float centered in that chamber. Here there is no 'just touching the shoulder' with everything centered. With chambered runout, you get chambered tensions that affect system vibrations(like a thumb resting against the action tang on firing).
So bananas in tighter chambers don't perform as well. Folks who produce & shoot bananas notice better results with sloppy chambers, and we end enduring 'rat turd in a violin case' notions, implying that this condition is a must.
I'm glad it's not a must for me, as I make straight ammo, because I don't EVER FL size.
So,, in extremes,, you could actually choose an improved chamber tight enough(fitted) that brass will never need to visit a sizing die, producing zero runout. Or,, you go sloppy and big in sizing to create massive chamber clearances. But neither is free.
-Back to actual FL sizing; you don't ever want to FL size necks. For hunting capacity cartridges there is nothing good and only bad about this. It's a matter of consistent neck tension, which larger to overbore cartridges are sensitive to. Relatively tiny for cal underbore cartridges rely on high peak pressure(beyond viable for hunting cartridges) to work-around many things (performing relatively better). High neck tension provided by FL sizing of necks, provides for high peak pressures, which is a work-around even for high tension variances. There are high dollar body dies that include combined neck/shoulder bushings well suited for underbore cartridges.
-Trimming. FL sizing leads to trimming. What do you think it means when trimming brass away at the case mouths? Do you think it's free of cost?
Two things it means for sure: The underfitting case grew to a point of yield on firing, and you had to FL size (again, a lot) for rechambering.
FL sizing begins near case webs and rolls brass thickness up the body, into shoulder, into neck shoulder junction(donut), and into necks(where you trim it away). Like squeezing toothpaste. If you want to consider consistency, then you shouldn't see this as contributing. It doesn't.
Your case capacity has just grown by an amount laying in a pile on your bench. Your donut has grown, and could affect your neck tension. Hey, that leads you right to the constant annealer crowd... Another must. On firing, the case itself yeilded, stretching to chamber walls so far away, and yielded brass doesn't spring back so much, leaving interference fitting extraction, leaving you to think you need a small base die(more sizing), and it goes roundy-roundy.. But you work harden brass with so much sizing, so it takes more pressure to expand back to yielding & against chamber walls, and this affects timing of your peak pressure. Again, don't see this as consistent. It isn't.
Well, that's just some things I wanted to throw out there about it.
I could lay out costs in every type of sizing plan.
But no matter our plan, we can be successful or not, since some of it is out of our control, and therefore some of it is LUCK.
I come into an occasion where I tested off the shelf factory ammo shooting as well as my reloads. This is mind boggling to me still. But then again, I've yet to see it shoot BETTER than my reloads. And I haven't FL sized since I was 12yrs old(in a reloading class, 40yrs ago).