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Sulfur does provide the lubricity.Do some research on the subject and you'll see for yourself.
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OK...
Page 5 of
THIS PDF says that the lower lubricity is from severe hydrotreating used to lower the sulfur levels.
THIS PAGE says it's the refiniing process that reduces the lubricity.
If you want to wade through the EPA's
BIG DARN BOOK on the new fuel standards, you'll find the lubricity discussion starting on page 83. Or you can just go to
APPENDIX A and on Page 8 see their assertion that sulfur serves no purpose whatsoever in diesel fuel, except that the process of removing it can reduce lubricity (and of course the removal process is expensive, which is why nobody does it unless forced to by regulations.)
Duncan