Yes, the 404 Jeffery rim is larger in diameter, but by such a small amount that the 404 Jeffery RWS brass functions fine in my M70 bolt action rifle without any modifications to the bolt face. I do use a 404 Jeffery shell holder rather than the standard winchester magnum cartridge shell holder when reloading. A 10-15 thousanths increase in case head diameter amounts to .005-.0075 inch increase in radius, and is within functional tolerance on my M70 bolt face. I've been using RWS brass in my 338 Imperial (identical to the 338 Edge except the measurement from the case head to the shoulder is 0.015" shorter in the Imperial than in the Edge) for the past 12 years. Now that my rifle action/barrel has been accurized, the barrel set back, and rechambered to 338 Edge, I'll be using the RWS brass in my current Edge chambering also.
If other's bolt faces did require modification, then you'd be looking at opening up the bolt face by about 0.005 inch around the outer edge of the bolt face. Mine didn't require any modification, and my RWS brass is every bit as tough and dimensionally uniform as 338 Lapua brass. I hesitated to even mention this option, because I don't want the competition for the remaining available 404 Jeffery RWS brass. Call me selfish...
404 Jeffery brass is what wildcatters had been using as the basis for RUM class wildcats for years prior to Remington's introduction of their current line of RUM cartridges.