The magic formula with the SS, is to start them .050 off, then seat deeper as necessary.
Usually, .050 works, at least it has for me.
The SSII has a harder jacket, same construction as the SSI.
I believe the only difference is how the jacket is heat treated to make it harder.
I believe it was due to complaints about the all copper jacket fouling bbls.
My guess is tha the SSII doesn't open up as fast as the SSI.
Tony