Remember that the phosphorous levels are listed as a maximum allowable level. So for an oil to be rated SH and SJ it still needs to be under the tighter SJ limit. BMW's logic here is questionable. In the course of this testing, the author spent a lot of time reading oil bottles. Of all of the oils in this test, and all the oils scanned in auto supply houses, none were rated SJ alone.
Some questions obviously arise here.
Your author set out first to find the right questions. When starting any kind of testing, its always a good idea to have specific questions in mind. This gives focus to the test and allows you to discard the superfluous data that distracts from your purpose. A survey was done of the internet BMW riding community. Their favorite oils were listed and whittled down to a manageable number.