Item Analysis: Locket of the Iron Solari vs Zeke's Herald

After the article about the Locket, some readers didn't show much appreciatation for the item. With their logical replies I started doubting the statistics myself, but still believed that it had to have a big impact on the early game phase. Since I'm maining the support role as well and tried out the item myself many times, I had to make a deeper analysis of it. Most people would rush a Zeke's Herald while their jungler builds Aegis, so I wanted to see the math behind Zeke's and the Locket.