A few facts. The CIP specifications for the .318 Accelerated Express do not match the ICI/Kynoch dimensions of their original brass.
I know this having spent a fortune on the journey to get vintage .318s back into service on safari successfully.
I had no shortage of similar troubles with modern loads in several guns. However, I slipped in vintage kynoch ammo a century old and they fired and extracted flawlessly.
Add to all of this, the Westley and Cogswell chamber reamers were different, and no one was going to argue with Westley doing their own thing with their own cartridge in that era.
Today, Quality cartridge makes .318 brass, but god help you if you run it through an RCBS full length or neck sizing die all the way. The vintage brass from Kynoch is not reloadable, berdan primed. Many people use 35 whelen brass and fireform after sizing it down in a custom collet. Same issues and you end up with the wrong headstamp.
Between NECG and Ken Owen, you can spend a few thousand and get these details sorted out directly with them for your particular gun. Or, you can do as I suggested to save money by not neck sizing past the slightest bump back to headspace on the shoulder. Then, its all smooth sailing.
Failing to headspace on the shoulder, tested by removing the firing pin and feeling that subtle resistance during feed, results in a dangerous condition. I've tested the web on many handloaded and once fired .318 cartridges. Incipient case head separation in the web will occur on first or second firing.
Add to all of this, most of these guns were take-downs where some looseness has occurred, and cordite corrosion of the neck and shoulder could have occurred in the chamber, not just the lands, and its a recipe for disaster without expert advice. (I'm not an expert, I'm a parrot of experts I hired)
In my example, I got a take-down Westley with no rifling (metford actually) and a box of handloads based on 30.06 that had web issues and head separation immediately, plus pushed out primers. I started clean as prescribed with RL19, Qual-Cart, RCBS, and simply bumping the neck. First-time handloads were 1 MOA. Never tried fire-formed 2nd loads but they might have been sub-MOA.
Any SAAMI / American handloading fundamentals that we'd use for any "normal" caliber with "normal" brass will tend to send a .318 loader down a difficult path that may result in injury to gun or person. If in doubt, get an expert to work with you on the solution. Suggest Ken Owen gets a nice Christmas basket every year so he'll take your calls.