I've had several 257 Roberts chambered rifles at one time or another. Everything from lovely little custom built 95 Mausers to custom Model 30 Remington, custom Mod 98 Mausers, M38 Arisaka, BSA U9 type, Winchester Mod 70 and now a lonely Remington 700.
The M38 Arisaka was built by PO Ackley and his version had a sharper shoulder.
Factory rifles were within SAAMI specs but the custom rifles were often just a bit different when it came to chamber dimensions and had to be fireformed, if they even accepted factory ammunition.
This has led to a lot of confusion over the decades when it comes to this very efficient little cartridge.
The early rifles had a very slow twist rate for the most part 1-14 and seldom shot anything over 100 grains well. An early Rem 721 I had with a 1-14 twist from the factory wouldn't stabilize bullets over 90 grains, no matter how fast I pushed them.
Depending on when the rifle was built or who built them you had to be careful to check twist rate or the rifle may not shoot the bullets you want to hunt with.
My present Remington 700 Classic is straight from the factory and it has a 1-10 twist rate. It shoots whatever weight bullets it's fed well, even off the shelf factory fodder.
The +P designation is IMHO promotional hype for the most part, other than they do weigh more and are stronger. The hype I'm alluding to is that it wasn't necessary, but did make people feel better.
In strong rifles, such as the M98 Mausers, M38 or 77 Arisakas, Remington, Winchester, Ruger and other modern bolt rifles there isn't any reason this cartridge shouldn't be loaded to higher pressure levels to wring out its true potential. Again, IMHO.
We're now blessed with some excellent powders for the 257 Roberts that weren't available even 10 years ago.
I shoot three different bullet weights through my Remington. 87 grain Speer HP "TNT", 100 grain Hornady IL flat base and Hornady 110 grain Interbond.
I have shot heavier 117 and 120 grain bullets out of the Roberts and even took a few Moose, clean and quick, with them but there are better choices for this type of game.
I've been through times when you just couldn't find 257Rob cases and 25 calibre bullets were just as hard to find.
I've necked down 6.5x57, 7x57, necked up 6mm Rem to make the cases and they worked very well.
Due to the extreme litigation issues in the US, manufacturers came up with the +P cases and in all honesty it wasn't a bad idea.
I have a few hundred factory cases of both the regular "thin wall" cases and the heavier "thick wall" cases and load both of them, with different weights of powder, in cases fireformed to the chamber in my rifle.
I load them on the HOT side, which is still safe in my rifle using both weights of cases.
My load for the 87 grain Speer TNT is 42.0 grains of W748 over CCI 250 primers to get 3200fps
100 grain Hornady IL is 46.0 grains of W760/H414 over CCI 250 primers to get 3000fps
110 Hornady IB is 45.0 grains of Superformance over CCI 250 primers for 2900fps.
All of the loads listed above are for the +P case, which has slightly less capacity than the regular cases.
I use the standard cases for the 87 grain bullets with different powders that take up more space but give close to identical results, accuracy and velocity wise.