On the all wood static recurves I've made I find uing a stringer a must to safely string your bow, especially with the sharp 60 degree angle I put on mine.
Now on working fiberglass recures I was taught many years ago to use the step through method and have never had any bit of a problem over 4 decades.
That said I just saw a man with a painful mark below his eye, at a shoot this weekend, after his high dollar German made static recurve twisted a limb whilst he was drawing back to shoot. He was using a stringer, too, but there must have been a flaw in the limb of the bow. Such a shame.