What's in a Name?

My niece, who is 4, has known for a while how to write her name. One day she was practising writing JORDYN over and over again on a piece of paper. She filled a whole page. Then she started writing JOTIDPEY. She filled another page and informed her mother that it still spelled Jordyn, only with the letters she liked best. Those were the letters she wished were in her name.

Same name. Same pronunciation. Just new letters. Better letters. JOTIDPEY. Why not?