Yes, sometimes in trying to describe simple things, writers can make one even more confused. Slipping the st knitwise make the 'new orientation' but it's not necessary to mention this. This one only slips the first stitch, then puts it back on the L to ktog. It would be the same as what's called the 'improved ssk' where you slip the first knitwise, the 2nd purlwise and ktog, but skipping the step of slipping the 2nd stitch.
I just slip them, leave them on the R needle and put the L needle into the front of them and k2tog.
sue- knitting heretic