According to a government study into Autobahn fatalities that occurred in 2018, "non-adapted speed" (defined as the appropriate speed for the traffic conditions and allowing full control of the vehicle) was the cause of death in 45% of cases overall. For stretches without a tempo limit it was 46%, for stretches with one it was 50% -- this may be a good statistical for the tempo limits, as presumably there would have been more deaths on those stretches without the limits having been set.
Overall, 70% of Autobahn deaths occur on the segments without a tempo limit for a variety of reasons.
Speed limits on the Autobahn are a frequently-discussed and controversial topic in Germany, but for what it's worth, they're quite actively managed for safety reasons.
Gov source (in German): https://www.destatis.de/DE/Presse/Pressemitteilungen/Zahl-de...
Our freeways stateside were largely built in the late 20th century to a uniform 70mph (~110km/h) speed limit engineering-wise. But after the 1970s oil crisis, speed limits became a political football that often have as much to do with driving traffic ticket revenue for local governments as actually promoting driving at a safe speed.
So the problem is that a portion of Americans commenting on our speed limits don't understand there's a difference between "what the government puts up on the sign" and "what is actually a safe speed to drive without endangering other people" as if what's on the sign is some sacred totem that shall not be questioned because We Must All Follow The Rules Like Good Little Boys and Girls.
Because 99 44/100 percent of the time, this is not a factor. The true threat is not someone going 10 over on the highway, it's the loons you see zooming ahead of everyone else going 20+ over, weaving like they're in a video game. Equally unsafe are the self-appointed speed police camping in the left lane doing 2 under (looking at you, Greater Seattle). This forces people to pass on the right to keep up the flow of traffic, which is much less predictable.
The correct answer is to keep right except to pass, keep your speed within reason (<10 over max in good weather), keep a decent following distance, and let the cops take care of anyone driving recklessly. If speed was so dangerous by itself, Germany would not have Autobahns.