I was going to post about a case somebody described on the Ruger forums in which a particular SBH was "sloppy" in the cylinder - which turned out to be a good thing, because the cylinder was mis-bored pretty bad and once a BM pin was used to tighten things up, cylinder bore-to-barrel alignment in the vertical direction was off enough to really hose things. Going back to a stock pin actually helped this gun's accuracy.
That is NOT normal - most Ruger cylinders on the large-frame guns and more or less all on the new mid-frames (New Vaquero and 50th Anniversary 357 so far) are much better than that.
But. The lesson is, once the BM pin is in there and you've used the set-screw to anchor it, do the "checkout" and confirm alignment of the cylinder bores to the barrel. If it's now "off", whoops...what it really means is you've got a "bad monday gun" and you NEED a sloppy cylinder.
The other main cure for base pin jump is to put a stronger spring in the cross-latch pin. The various spring kits generally have such a thing included.
MOST Ruger SAs will either get a bit of accuracy benefit from a BM pin or the accuracy won't change. A few guns will get a big increase in accuracy, a very tiny number may not like the BM pin at all. In all cases, BM pins with a set-screw eliminate pin jump. So for $25, this is almost always a good idea, even though accuracy *gains* are a bit of a crap-shoot.