A few thoughts about material, temps, and molds.
What material are making the strap anchors out of? Pure lead? reclaimed lead? a known lead alloy mix? Each one of these will have different bend and flexing characteristics. Pure lead is probably your best choice and will be the most friendly in regards to repeated bending.
Too high of melting and pouring temps will contribute to brittleness in the finished product. Along with that, is making sure the mold(s) are not disturbed while the material is still molten and setting up. Disturbing the molds, even a little, (moving them, setting them down to cool) can cause internal fractures in the cooling metal.
Molds,,, Are you using an open (one sided) or closed ( two sided) mold? Open molds will produce a poorer grade product because of the uneven cooling of the molten metal. This again contributes to internal stress fractures and brittleness.
Open sided molds can still be used, just be aware that they will produce a product that will be more prone to break than the same lead cast in a closed mold. How much difference in the end product depends on the actual difference in the cooling rate between the two under the conditions in which you are pouring that day.