It's a bad assumption about Lapua being so good. As far as thickness variance, it changes with cartridge & lots. I have seen the best in Norma (223rem), pretty good in Lapua (223rem), and the worst in one lot of Lapua (6br). On average, for thickness variance, it appears to me that Lapua is on par with Winchester reloading brass, which I see as ~1/2thou variance.
Something important if your goal is low runout.
Neck turning only addresses necks, while a lot of runout comes from the entire length of cases, that builds with sizing.
So if you want lowest runout, and I'm talking about over many reload cycles, you need to carefully measure neck thickness and fully cull those with ANY variance.
I do this with all brass brands that I've used, including Lapua.
Now if your cartridge is of best reloading design, your chamber is tight, and your sizing is minimal, you can get away with thickness variance & unturned necks & still make straight ammo. One trick here is to run an expander mandrel through necks before seating bullets. That's a mandrel, and not a button. I call it 'pre-seating'.
This drives some thickness variance outward away from seating bullet bearing, so bullets seat straighter. It also sets the correct interference fit for bullet seating to same OAL/CBTO.
If your neck clearance is already ~5thou, don't bother turning. Pre-seat instead.