On Lilja's site, Dan talks about a 12.8" to a 16.6" twist needed for optimum bullet stability, which if optimum should net tighter theoretical aggs. This was in a 6ppc just traveling to different parts of the US.
With a rimfire having a barrel time of almost 3X longer, it should then be about 9X more sensitive to this.
I think after getting tuned it is then a case of matching ammo for the conditions, or matching ammo speed to the tune of the barrel, which it is I don't know.
I do have a friend that has shot an 18" twist year round, indoor and outdoor, and had great results. Compare that to before having my rifle tuned, there was one day with my 16.5" twist I was getting slight keyholes and my friend was shooting his 18" on the same day and not getting them. He won the match. I asked how he did not get keyholes with a slower twist than what I had? He said "Cause my rifle is tuned"!
With my current tuner, an RVA, I was finally able to get tuned, the same barrel which I thought would never shoot, and the difference is dramatic.
But, I have only shot it in it's tuned condition since July in 90F, but it is cooler now and still shoots well in 65F.
I don't know for a fact that once tuned, is always tuned, but this is what the top shooters say.