I think threads importance depends on your thread fit, if you cut threads that you can feel drag the whole way till it shoulders, then you'd better have perfect threads, if you let them have some "breathing" room but they are clean then they are way down on the list of things. I have seen a couple rifles respond to just doing the threads but its hard to tell if it's actually the threads or just cleaning things up and resetting the barrel but it was only noticeable at 1000 yards on the cold bore shot.
I've seen amazing, record setting at long range level threads completely messed up by someone else and they hammer so to me if the threads do their job that's what's needed most from them.
Threading with a slight taper is a method that has been tried a lot, different threads types, in the end they are to hold the barrel against the face of an action nothing more.
I also look at the set up, if you hold an action by the front ring and the rear bridge with jack screws your don't out of the gate, your twisting the action, if you use a bushing and rod to find the action center line your going to find it does not repeat well because your stacking tolerances again. Just how you hold your action and determine center line, there are few I believe who actually are truing threads to the actual center of it all as good as they think they are doing.