To the actual question - yeah, diesels running on biodiesel actually produce less GHG emissions than even hybrids. Ultra Low Sulfur Diesel is pretty close but just a bit above hybrids. The National Academy of Sciences published a study back in 2010 on the topic. The report itself is paywalled but there's a copy on the Arkansas state website. I snapped an image of the chart for ease of viewing.
Note that ULSD was only introduced in the US in 2010 (2006 for Cali). The Euros have had it for quite a bit longer. So when you're reading studies, if it predates 2010 and it doesn't specifically say ULSD or Biodiesel then you should disregard it, because the new fuels are vastly cleaner and the playing field has shifted dramatically as a result. Biodiesel is often notated as something like B100, B85, or BD20 denoting the percentage of biodiesel in a mixture with fossil diesel. Pure B100 has a fairly high gel point and can cause problems starting in cold areas, so these mixtures include a fraction of ULSD to lower the gel point.