I do not think there is any empirical evidence that supports sidemount being safer.
It would be hard to build that evidence when a significant percentage of SM divers are doing objectively more dangerous (than OW) activities like cave diving. And a small percentage of that are going beyond normal cave diving into pushing into smaller passages where death is more likely.
Thinking about the last few deaths in cave country, and I think most were SM. Granted none were caused by weaknesses with the SM setup, but how many recent accidents are caused by manifold failures?
So I think we can make the case about failure points and having the reach for the valves vs always having all your gas available. But we are never going to have definitive evidence to prove one is safer than the other.