Gunamonth is right about the fact that if there is a difference in neck wall thickness,when sizing a case,the difference will remain after sizing.Turning the neck is the only way to eliminate this cause of runout.
I dont have any experience with the .20s,but with my .30 cal. this is my procedure.
Full size new cases with the expander removed.Trim the new cases to the shortest length case in the lot Im working with.Run the expander,neck turning expander,not die expander.I use the K&M turner,but many others are available) into the case necks to obtain proper size for the neck turner mandrel.Turn cases to completely true neck wall thickness to .014".In this case of the 30 cal. Im working with,removing a little over .001" completely trues the wall thickness to .014"
I then run the cases into the bushed neck die,Redding comp neck die) with a .334" bushing,which is .002" smaller than my loaded rounds.
Until I have fired the cases once,I wont even bother checking runout as its usually impossible to reduce runout to .002" or less with a new case,usually .004-.005 is the norm with new cases even if they were neck turned.In my experience anyway).
After they are fired,I clean them,run them in the comp neck die and load,I dont usually need to bump the shoulders for 2-3 firings).Ive generally found my runout to be under .001".So much so that I usually only check one cartridge for every 20 I load.
With your Cooper Vartag,Im assuming you may be high volume dog shooting and such,so I dont know how much time your willing to put into your reloading.All I can tell you is that it cant hurt your accuracy.
The .30 cal Im loading for was just finished for me and is more of a big game /target gun,but I did have some fun during deer season mowing praire dogs in half with some Berger 185 VLDs.

If I get my camera back from my friend in the near future Ill try and post some pics of the steps I do for you.Good shooting with your Cooper.