Safer to cross a red light?

Drivers approaching a green light are obeying a signal at speeds that can kill. But crossing a red light after checking there is no conflicting traffic means approaching at a crawl with heightened awareness. So is it safer to cross a red light slowly (carefully) than a green light at speed (selfishly)? If so, the safer option is a crime. The law calls it “red light jumping”. A more accurate term would be “red light sidling” (or tip-toeing).