I've also heard it said that if David Tubb said he pissed on his barrel before the match everyone would be carrying their rifles into the porta-johns at Camp Perry.
I believe he says it, but like a lot of things (most in fact) in this game nobody other than Bryan Litz ever seems to back up their claims with statistically valid data.
That said, if you use good dies, how much runout can you really expect to have? Probably ±.002 max, most in the range of ±.0015 with the odd ±.003, that's what I see and I don't turn necks.
edit: I'm referring to runout on the bullet bearing surface just behind the ogive, not on the neck.
I know from personal experience that with out turning necks I can get my F-TR rifles to shoot 0.3 to 0.4 MOA vertical at 600 yards with WW brass. I've shot 300 yard matches with my 223 and shot in the range of 66% X count. Oh, and I use Lake City brass, good heavens, it's not Lapua

(Last match at the SOA at 300 I think I shot a 150-10X)
Mr Tubb shoots on a 2MOA, 10 ring, and a 1MOA X-Ring, he is a salesman. If you don't clean that target it ain't the rifle.
I'd love to see someone put up statistically valid data on neck turning, flash hole uniforming, runout, Lapua vs WW brass, and weight sorting components to show the improvement in accuracy.
I'm talking about data with a 95% confidence that will pass a Student-T test or a Wilcoxon Rank Sum. That takes more than a couple of 3 shot groups.
I stand by my assertion that for a beginning shooter, it just one more thing that you really don't need to worry about at this point.