Ian,
If the tube is good and the riflesmith is at all compentent/conscientious, then I think, yes, all McHale-stocked rifles do shoot great. Many riflesmiths who have built rifles into the McHale have told me that there is no mystery to this, too. They all talk about how the deep, thick belly of the stock holds the barreled action with much more authority than that of other, lighter sporter and/or tactical stocks. Also, they have told me, the forearm is fairly broad and flat, which means is rides solidly in the bags or on the ground with a bipod underfoot.
I'm gonna do a Nesika actioned stick in a McHale chambered for the .338 Lapua inside the next 2-3 years. I expect it to be 'The End' in the way of my long range rifle projects.
Dave
PS - Ian, let's make it a point to get together to shoot or even hunt sometime before we can't!!!