I installed one on my Ruger BH. The idea, wrt accuracy, is that the oversized pin tightens up cylinder fit. Nonetheless, I didn't notice any improved accuracy, although I didn't really look at accuracy in any meaningful systematic way. Also, my gun was essentially new and cylinder fit was fairly tight to begin with. I suppose if your gun is old and/or has seen more than it's share of hot loads, cylinder fit might be sloppy, so you might see the accuracy of your gun go from terrible to acceptable. Just guessing, though.
Some shooters experience a backing out of the stock pin under heavy loads, and it's my impression the Belt Mtn pin is designed such that it stays in place better.
Also, IIRC, there are several knob styles available, so one might be interested in a Belt Mtn pin to simply customize their gun a bit.