I have been swapping Remington barrels since the mid 80's. Only two had headspace too long, and they were both 308's.
Headspace tighens up if you just take a barrel off a Rem and screw it back on due to epoxy in the threads.
So, for a guy that reloads, he has a tighter head space, but just screw the full length sizer down a tad further....no big deal. Now, if this guy only wants to shoot factory ammo, then the bolt may close tight on some rounds.
I screw a new factory barrel on my 700, then I close the bolt on a new case. If it closes easy, then I smoke the shoulder on the piece of brass to see if there is any contact at all. Then I try and insert a fired piece of brass from another barrel. How the bolt closes on that piece of brass indicates to me how long the headspace is.
Usually, you have to bump the shoulder on the new brass or full length size the brass fired in another barrel.
Next, check to see if your bolt face is touching the back of the barrel. You should be able to feel the bolt closing hard, simply smoke the end of the bolt nose with a candle or cigarette lighter, examine the smoke to see if has been wiped off from touching the back of the barrel.
No other brand of barrels can be swapped between actions other than Remington on stock factory rifles. Barrels off of Stolle actions can be swapped back and forth easily, other customs also. Ruger and Winchester barrels can not be swapped. Ruger will tell you in a skinny minute that their barrels are never intended to be removed from the action.
Everyone is lawyered up these days, so answers have to be correct. So, my advise to anyone is take the barrel to a gunsmith, have him install the new barrel, check/adjust headspace properly.
I have only shot a hand full of factory loads in my life, and those were in other people's rifles.