I am no expert as I have only been reloading a year or two, but I find it a little odd that the bolt will easily close on fired brass w/ no resizing.
Be that as it may, You certainly don't need to FL resize the cases. If you have a neck die, just use it. If not, back your FL die out a little and run your brass through it. It should de-prime for you while sizing only the neck. Start with the die backed out at least a full turn or more and take it from there. Look closely at the neck when you pull the case out and you will see the line where is stopped getting sized, try to adjust the die down to size as much of the neck as you can without contacting the shoulder. As long as you have sized enough of the neck to equal the diameter of the bullet you should be fine for neck tension on the bullet.
I think you will find that most guys will tell you to FL size all the time. That may be good advice to avoid possible sizing issues. However, you can often get away with neck sizing only, especially with this particular brass as it obviously already fits the chamber. Eventually though, the brass will stretch enough that you will have to FL size it in order to get in back to spec size so it will chamber properly.
Be safe. Good luck!