A couple of things:
Whether something has an effect on accuracy depends a lot on where you are with other factors that may be more important. Also, this is the kind of thing that I would do my own testing on, and believe my targets. I run into fellows who seem to think that they can work on shooting really small at short range with no wind flags, or do not really have a handle on tuning, or perhaps are working with equipment issues, shaky bench, bad rest to stock interface, etc. Until these issues are properly addressed, results will be inconsistent, and IMO worrying about whether to turn Lapua brass is a complete waste of time. I guess the first question should be, if you go to the range, foul your bore, and then over the course of the morning shoot five five shot groups, what will their average size be? If that average is too large, I think that this is an indication that there are much more important issues that need to be dealt with. On the other hand, if that average is very good, and you are looking to make it better, then the small things can become significant. Back in the day, with a factory rifle that shot pretty well, a .222, I compared turned to unturned brass for accuracy and could see no advantage. My groups with that rifle were around 3/8 - 7/16 with or without necks being turned, using American brass that was certainly not as consistent as Lapua. Back in those days I didn't work up loads at the range, and I was not using flags, so I was a perfect example of someone who had bigger fish to fry.