It seems to me that it is not worth looking for much meaning in children's family nicknames, not always they are attached to the name. I have a long-time adult acquaintance named Valeria, whose family name is Lila, because that’s how she called herself when she started speaking.
I remember the wonderful children's book Oseeva "Dinka", in which the younger sisters Dinka and Musk are actually Hope and Angelica. And Peter the First and Catherine in general in the family called their son Petya, if you can find a connection between Petya and Petya, you are definitely an extraordinary person.