Why pretend that it means nothing to him, just a collection of letters? How could he thieve this name, then strip and flense it of all it embodies, discarding the very life it once contained? How could he take up his pen and write it on a page, breaking its connection with their son? It makes no sense. It pierces her heart, it eviscerates her, it threatens to sever her from herself, from him, from everything they had, everything they were.
He had no way of knowing this but think of how beloved and well known hamlet is. He didn’t rob your son of his meaning, he made him eternal.