I thought that k2togtbl twisted the stitches and that SSK purlwise didn't.
I use Nona's Crossed SSK.
1. Slip 1st stitch purlwise onto a cable needle and hold in front
2. Slip next stitch purlwise to the right needle
3. Slip the stitch on the cable needle back to the left needle
4. Slip the stitch on the right needle back to the left needle
Slants to the left and you can make it much much easier if you know how to do the cables without cable needle techniques. I just slip the first stitch off and pinch it with my thumb and forefinger so that it doesn't drop and then follow the rest of the directions. Simplifies it a great deal, and I do like it because I find it interesting.