The push/pull will work fine if you can use it right, I just never got used to it. On a recurve you should always use a bow stringer. Byron Ferguson brought it to light best, he said "if you grab the tip of a recurve you can move it right and left pulling the string out of the groove. That can cause limb twist,you can't do that with a longbow". Byron uses the push/pull method. Using a stringer is not an issue on limb tips as long as the tip are not damaged in any way. With the step-through method you're bending the bow around your leg possibly causing twist, with push/pull there's the possibility of torquing the riser twisting the limbs.

Like I said earlier, for the few seconds it takes to use a stringer it's better to be safe than sorry. JMHO