The data I have says the 'short and fat' 300WSM has no velocity difference over the 'long and slender' 300 H&H (similar 300WM).
February 2007, No 245 on pages 95, 96 and 97 of 'Handloader' Magazine:
The 300 H&H and 300 WSM have virtually the same case capacity. Both chambers were given the same amount of throat.
Using the 180 grain Nosler Partition:
.300 WSM RL-19 at 67.0 grains gave 2,918 fps at 56,064 psi Velocity spread 13 fps.
.300 H&H Rl-19 at 67.0 grains gave 2,914 fps at 57,177 psi, Velocity spread 9 fps."
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