I've googled and found some very partisan sites. It seems hard to tell what's going on.
My overall analysis is: Tesla has some very serious enemies in other automakers, lawyers, etc. And yet, there are no clear studies or statistics saying they're worse, and Tesla claims they are safer. This isn't a very good analysis and I'd love to have a clearer more well-defined group for statistical comparison, but it at least seems plausible to me.