Theoretically - considering the thread size on several other brands that offered the RUM and WSM as factory chamberings I doubt there's much worry with using either in a small shank action. That said, I'm also one to recommend playing it safe and would say go with the large shank and never have to worry about whether it's going to hold up or not.

Browning A-Bolt = 1" x 32
Remington 700 = 1.0625" x 16
Ruger Model 77 = 1" x 16
Winchester M70 Classic = 1" x 16