I don't know if any of the approved ATFs are better than the others. It is odd though that Mobil and Mobil 1 are not listed. There may be an updated list. The list (booklet) I got from MB last year was dated 2001. I don't know how often the issue a new list.
I have never heard of Schaeffers. Then again I had never heard of Chevron Delo 400 motor oil until I bought a diesel.
1994 MB E320 Coupe (199,500 mi)
1992 MB 190E 2.6 (173,000 mi)
1983 Porsche 911SC (148,000 mi)
2004 Volvo V70 2.5T (198,000 mi)
President of CT/Westchester Section