Roundabouts, offset T-intersections and grade separation all make traffic safer by removing conflict points - it's not the removal of traffic lights that improves the safety. Four way intersections put traffic directly on collision paths at high speed, meaning if anyone makes an error (missing the light or otherwise), you have an awful crash.
It's relatively rare in the UK to have four way stops or high speed four way signal controlled intersections. One of the weird things about driving in the US for me was the prevalence of both of those things.