Yes Pete, with really good form even poorly spined arrows group well. For a guy like that, Ok, he gots a 3" group with poorly tuned arrows, he's get 1 1/2" with better tuning. Mine would go from 10" to 20"!

With field tips, it's not a big deal, it's broadheads, wet feathers, short draws due to odd shooting positions and cold weather. All add up to doing pretty good in July on the range and unexplained screw ups in November.
Razorbak, sounds like you are trying to mix two methods, pick one of them and stick with it!
Like Rob said, feathers are there to correct any flight problems and they will do so within reason no matter if it's a tuning issue or human issue. The goal of good tuning is to get rid of the tuning issues leaving only the harder to fix form problems. A bare shaft won't stabilize as quick as when fletched. Even if initially shot "straight", they won't stay that way long, they'll swing off to one side, then the other but will stay fairly well on course. A poorly spined one will do the same thing except it will "plane" off course. Again, seeing that angle doesn't tell you if there is something wrong or not. The frustration comes from trying to fix something that may or may not be broke. If bare shafts will "group" with fletched field tips and wide broadheads at 30, 40 or 90 yards, who cares what "angle" they are in the target or what angle they were flying to get there. Even tiny fletching will correct that in 6'. It's kind of like having a car with a severly out of line front end, sure you can hold against it and drive straight, big feathers will do the same. It's covering up problems that should be fixed instead of having to fight it....O.L.