Yes, if the string isn't too big for the groves in the bow's limb, it will self-center when strung, even if the loops aren't perfect. I agree with others that you have a limb problem. You said you're using the step through stringing method. That's almost a sure fire way to twist a limb, whether you're careful or not. Check the bow for limb twist when it is unstrung. It may or may not show then, depending on the severity of the twist. And, when strung, draw the bow and slowly let it down. If the string doesn't come back down in the string groves on the back of the limb(s), or if they slide into the groove at the last second with an audible click, it/they are twisted. Good luck.